Properties of the Number 45892

Forty-Five Thousand Eight Hundred Ninety-Two

Basics

Value: 45891 → 45892 → 45893

Parity: even

Prime: No

Previous Prime: 45887

Next Prime: 45893

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 11 × 149

Divisors: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001101000100

Octal: 131504

Duodecimal: 22684

Hexadecimal: b344

Square: 2106075664

Square Root: 214.22418164156912

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 arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of floor(x(i)/x(i+1)) equal to zero. A189498

T(n,k)=Half the number of (n+1)X(n+1) symmetric 0..k arrays with no 2X2 subblock summing to 2k. A213697

Numbers that are the sum of seven fourth powers in nine or more ways. A345575

Numbers that are the sum of seven fourth powers in ten or more ways. A345576

Numbers that are the sum of seven fourth powers in exactly ten ways. A345832

Number of lines through exactly 3 points of an n X n grid of points. A18810

Expansion of ∏_m>=1 (1+m·q^m)^-28. A22720

a(n) is the number of smallest parts in the overpartitions of n. A335724

Numbers k such that k and k+2 are both terms in A380846. A381073

Number of arrangements of n+1 nonzero numbers x(i) in -7..7 with the sum of floor(x(i)/x(i+1)) equal to zero. A189496