56989 (number)
56,989 (fiftysix thousand nine hundred eightynine) is an odd fivedigits prime number following 56988 and preceding 56990. In scientific notation, it is written as 5.6989 × 10^{4}. The sum of its digits is 37. It has a total of 1 prime factor and 2 positive divisors. There are 56,988 positive integers (up to 56989) that are relatively prime to 56989.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 37
 Digital Root 1
Name
Short name  56 thousand 989 

Full name  fiftysix thousand nine hundred eightynine 
Notation
Scientific notation  5.6989 × 10^{4} 

Engineering notation  56.989 × 10^{3} 
Prime Factorization of 56989
Prime Factorization 56989
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  56989  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.950613545737  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 56,989 is 56989. Since it has a total of 1 prime factor, 56,989 is a prime number.
Divisors of 56989
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  56990  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  28495  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  238.72368964977  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999649061239  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 56,989 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 56,989) is 56,990, the average is 28,495.
Other Arithmetic Functions (n = 56989)
φ(n)  Euler Totient  56988  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  56988  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5770  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 56,988 positive integers (less than 56,989) that are coprime with 56,989. And there are approximately 5,770 prime numbers less than or equal to 56,989.
Divisibility of 56989
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  4  1  2  5  1 
56,989 is not divisible by any number less than or equal to 9.
Classification of 56989
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (56989)
Base  System  Value 

2  Binary  1101111010011101 
3  Ternary  2220011201 
4  Quaternary  31322131 
5  Quinary  3310424 
6  Senary  1115501 
8  Octal  157235 
10  Decimal  56989 
12  Duodecimal  28b91 
16  Hexadecimal  de9d 
20  Vigesimal  7299 
36  Base36  17z1 
Basic calculations (n = 56989)
Multiplication
n×yn×2  113978 

n×3  170967 
n×4  227956 
n×5  284945 
Division
n÷yn÷2  28494.500 

n÷3  18996.333 
n÷4  14247.250 
n÷5  11397.800 
Exponentiation
n^{y}n^{2}  3247746121 

n^{3}  185085803689669 
n^{4}  10547854866470546641 
n^{5}  601111700985289982523949 
Nth Root
^{y}√n^{2}√n  238.72368964977 

^{3}√n  38.482535509496 
^{4}√n  15.450685733966 
^{5}√n  8.9363096143559 
56989 as geometric shapes
Circle
Radius = nDiameter  113978 

Circumference  358072.44747086 
Area  10203095354.458 
Sphere
Radius = nVolume  7.752856015403E+14 

Surface area  40812381417.833 
Circumference  358072.44747086 
Square
Length = nPerimeter  227956 

Area  3247746121 
Diagonal  80594.61670608 
Cube
Length = nSurface area  19486476726 

Volume  185085803689669 
Space diagonal  98707.843472543 
Equilateral Triangle
Length = nPerimeter  170967 

Area  1406315322.9142 
Altitude  49353.921736271 
Triangular Pyramid
Length = nSurface area  5625261291.6567 

Volume  21812571148388 
Height  46531.32365049 
Cryptographic Hash Functions
md5  487a927f745a1a5362436f97ecac2067 

sha1  77cda0d478183d59656cd5777e9250f4c80b4a4c 
sha256  f06f087d9bd0c83ba2dbf169bd271979e5c28bb0613739f7739510f581ccf7eb 
sha512  6b5f12ea8f826f0f149a7618a5b9afdb1d18453d531989d025d20fb5262351d2e4a45597ce069cfe4ea1bce0b2385a52ba3bee85a32cd4b458e396d732c27486 
ripemd160  4f46198139b6267687970045301ddec260b9c328 