Properties of the Number 51790

Fifty-One Thousand Seven Hundred Ninety

Basics

Value: 51789 → 51790 → 51791

Parity: even

Prime: No

Previous Prime: 51787

Next Prime: 51797

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 5 × 5179

Divisors: 1, 2, 5, 10, 5179, 10358, 25895, 51790

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101001001110

Octal: 145116

Duodecimal: 25B7A

Hexadecimal: ca4e

Square: 2682204100

Square Root: 227.574163735693

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 partitions of {1..2n} that are invariant under a permutation consisting of n 2-cycles. A2872

Table by antidiagonals, T(n,k) is the number of partitions of {1..(nk)} that are invariant under a permutation consisting of n k-cycles. A162663

Number of fixed points of permutation of SetPartitions under {1,2,...,n}->{n,n-1,...,1}. Number of symmetric arrangements of non-attacking rooks on upper half of n X n chessboard. A80107

Number A(n,k) of length-n restricted growth strings (RGS) with growth <= k and first element in [k]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A306024

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299465

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300108

Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299460

a(n) = A324542(2·prime(n)). A324552

Divide the positive integers into subsets of lengths given by successive primes. a(n) is the sum of primes contained in the n-th subset. A344718

a(n) = ∑_d∣n d^φ(n/d). A344484