Properties of the Number 44792

Forty-Four Thousand Seven Hundred Ninety-Two

Basics

Value: 44791 → 44792 → 44793

Parity: even

Prime: No

Previous Prime: 44789

Next Prime: 44797

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 11 × 509

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 509, 1018

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1010111011111000

Octal: 127370

Duodecimal: 21B08

Hexadecimal: aef8

Square: 2006323264

Square Root: 211.64120581777075

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 (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7. A251791

a(n) = ∑_{j=0..floor(n/2)} (-1)^j+floor(n/2)*S(2j+q), where S(n) are generalized tribonacci numbers (A001644) and q = (1-(-1)ⁿ)/2. A74678

Number of (n+2)X(1+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7. A251784

Number of (n+2)X(7+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 3 6 or 7. A251790

T(n,n-1), array T as in A047100. A47103

Numbers k such that (2⁶⁷ - 1) * 10^k + (2²⁵⁷ - 1) is prime. A119650

Numbers n such that string 7,9 occurs in the base 10 representation of n but not of n+1. A44792