Properties of the Number 51691

Fifty-One Thousand Six Hundred Ninety-One

Basics

Value: 51690 → 51691 → 51692

Parity: odd

Prime: Yes

Previous Prime: 51683

Next Prime: 51713

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 51691

Divisors: 1, 51691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100111101011

Octal: 144753

Duodecimal: 25AB7

Hexadecimal: c9eb

Square: 2671959481

Square Root: 227.35654817928602

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

Number of integer partitions of n of whose permutations do not all have distinct runs. A351203

Number of compositions of n whose multiplicities are distinct and cover an initial interval of positive integers. A329740

Numbers k such that τ(k) + τ(k+1) + τ(k+2) + τ(k+3) = 16, where τ is the number of divisors function A000005. A350686

Primes p such that p⁸ - 1 has 384 divisors. A342064

Number of permutations in S_n avoiding {bar 1}5{bar 2}43 (i.e., every occurrence of 543 is contained in an occurrence of 15243). A137552

a(n) = (5·n+10)(!⁵)/10(!⁵), related to A052562 ((5·n)(!⁵) quintic, or 5-factorials). A51691

G.f. A(x) satisfies: ∑_n>=0 A(x)^n*(n-1+1) * xⁿ = ∑_n>=0 (A(x)^n-1 + 1)ⁿ * xⁿ. A326562