Properties of the Number 45796

Forty-Five Thousand Seven Hundred Ninety-Six

Basics

Value: 45795 → 45796 → 45797

Parity: even

Prime: No

Previous Prime: 45779

Next Prime: 45817

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 107 ²

Divisors: 1, 2, 4, 107, 214, 428, 11449, 22898, 45796

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011001011100100

Octal: 131344

Duodecimal: 22604

Hexadecimal: b2e4

Square: 2097273616

Square Root: 214

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

a(n) = (11·n + 5)². A17450

a(n) = (6·n + 4)². A16958

Squares with initial digit '4'. A45787

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically. A207123

T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal. A207283

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum. A257361

T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column or nw-se diagonal. A207479

T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row or column. A207535

A positive integer is included if it is a square that contains the same number of 0's as 1's when represented in binary. A164343

a(n) = (8·n+6)². A17138