Properties of the Number 51768

Fifty-One Thousand Seven Hundred Sixty-Eight

Basics

Value: 51767 → 51768 → 51769

Parity: even

Prime: No

Previous Prime: 51767

Next Prime: 51769

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 719

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101000111000

Octal: 145070

Duodecimal: 25B60

Hexadecimal: ca38

Square: 2679925824

Square Root: 227.5258227103025

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

T(n,k)=Number of length n+k 0..2 arrays with at most two downsteps in every k consecutive neighbor pairs. A255622

Number of non-isomorphic twice-balanced multiset partitions of weight n. A340652

Number of arrays of 2n nondecreasing integers in -7..7 with sum zero and equal numbers greater than zero and less than zero. A203290

Number of arrays of 12 nondecreasing integers in -n..n with sum zero and equal numbers greater than zero and less than zero. A203296

Number of partitions p of n not containing ceiling((min(p) + max(p))/2) as a part. A238485

Number of length n+4 0..2 arrays with at most two downsteps in every 4 consecutive neighbor pairs. A255618

Number of length n+6 0..2 arrays with at most two downsteps in every n consecutive neighbor pairs. A255628

Numbers n such that n-19, n-1, n+1 and n+19 are consecutive primes. A262668

The Matula-Goebel numbers of the rooted trees that have palindromic Wiener polynomials. A198322

T(n,k)=Number of arrays of 2n nondecreasing integers in -k..k with sum zero and equal numbers greater than zero and less than zero. A203291