Properties of the Number 45992

Forty-Five Thousand Nine Hundred Ninety-Two

Basics

Value: 45991 → 45992 → 45993

Parity: even

Prime: No

Previous Prime: 45989

Next Prime: 46021

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 5749

Divisors: 1, 2, 4, 8, 5749, 11498, 22996, 45992

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 1011001110101000

Octal: 131650

Duodecimal: 22748

Hexadecimal: b3a8

Square: 2115264064

Square Root: 214.4574549881631

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

Numbers k such that (j^k + k^j) == 0 (mod k+j), j=2 case. A114977

Triangle T(n,k) (n >= 2, 1 <= k <= n) read by rows: number of linearly inducible orderings of n points in k-dimensional Euclidean space. A71223

Numbers n such that (nⁿ+2²)/(n+2) is an integer. A242875

Square array in A071223 read by antidiagonals. A198889

Number of nX1 1..3 arrays with every element value z a city block distance of exactly z from another element value z. A209360

a(n) = binomial(2n,n) - n; number of (weakly) increasing or decreasing maps from 1,...,n to 1,...,n. A45992

a(n) = (3·n+4)*binomial(n+7, 7)/4. A54487