Properties of the Number 51856

Fifty-One Thousand Eight Hundred Fifty-Six

Basics

Value: 51855 → 51856 → 51857

Parity: even

Prime: No

Previous Prime: 51853

Next Prime: 51859

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 7 × 463

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101010010000

Octal: 145220

Duodecimal: 26014

Hexadecimal: ca90

Square: 2689044736

Square Root: 227.71912523984454

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

Sum of quadratic residues of (n-th prime == 3 mod 4). A282035

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253993

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally and vertically. A258910

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic residues mod p. A282041

Numbers that are the least element of a k-cycle (k > 1) of permutation A113821. A115641

Expansion of g.f.: exp( ∑_n>=1 2ⁿ*(∑_d∣n d·x^d)ⁿ/n ). A192890

a(n) = ∑_{k=0..floor(n/4)} binomial(2·k,k) * binomial(n-2·k-1,n-4·k). A393277

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253986

a(n) is the number of binary strings of length n not containing the substrings 0000, 0001, 0011, 0111, 1111. A373080

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal median plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253989