Properties of the Number 57786

Fifty-Seven Thousand Seven Hundred Eighty-Six

Basics

Value: 57785 → 57786 → 57787

Parity: even

Prime: No

Previous Prime: 57781

Next Prime: 57787

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 9631

Divisors: 1, 2, 3, 6, 9631, 19262, 28893, 57786

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000110111010

Octal: 160672

Duodecimal: 29536

Hexadecimal: e1ba

Square: 3339221796

Square Root: 240.38718767854496

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Define p(α) to be the number of H-conjugacy classes where H is a Young subgroup of type α of the symmetric group S_n. Then a(n) = sum p(α) where |α| = n and α has at most n parts. A124577

T(n,k) = count of degree k monomials in the power sum symmetric polynomials p(μ,k) summed over all partitions μ of n. A209664

Number of partitions of n into 6 sorts of parts. A246938

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,4,1,2 for x=0,1,2,3,4. A196142

Number A(n,k) of partitions of n into k sorts of parts; square array A(n,k), n>=0, k>=0, read by antidiagonals. A246935

a(n) is the number of distinct n-th powers of functions {1, 2, 3, 4, 5, 6} -> {1, 2, 3, 4, 5, 6}. A103950

Number of polykites with n cells. A57786