Properties of the Number 45792

Forty-Five Thousand Seven Hundred Ninety-Two

Basics

Value: 45791 → 45792 → 45793

Parity: even

Prime: No

Previous Prime: 45779

Next Prime: 45817

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 53

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011001011100000

Octal: 131340

Duodecimal: 22600

Hexadecimal: b2e0

Square: 2096907264

Square Root: 213.9906540015241

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 whose prime indices and prime signature have the same mean. A359903

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings). A234738

Numbers with prime factorization pq^3r^5. A190011

T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their king-move neighbors in a random 0..2 nXk array. A220254

Thickened pyramidal numbers: a(n) = 2*(n+1)*n + ∑_i=1..n (4·i*(i-1) + 1). A50533

a(n) = Fibonacci(n) - n². A14283

Number of 3 X 3 matrices with unit determinant and positive integer entries whose sum is n. A361082

a(0) = 1; a(n) = ∑_k=0..n-1 (3·k+2) * a(k) * a(n-k-1). A376086

Sum of neighbor maps: number of nX4 binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their king-move neighbors in a random 0..2 nX4 array. A220252

Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 8 (constant-stress 1 X 1 tilings). A234733