Properties of the Number 45036

Forty-Five Thousand Thirty-Six

Basics

Value: 45035 → 45036 → 45037

Parity: even

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 139

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010111111101100

Octal: 127754

Duodecimal: 22090

Hexadecimal: afec

Square: 2028241296

Square Root: 212.21687020592873

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 nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. A297654

Squares where knight moving to a lowest unvisited square on a spirally numbered board will have no available moves. A323714

Sizes of successive increasing gaps between 3-smooth numbers. A84788

a(n) = -(1/120)*n*(n - 3)*(n - 6)*(n² - 21·n + 8). A319931

Expansion of ∏_k>=1 (1-x^k)³⁰. A10835

Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. A297652

Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. A297656

Numbers whose base-4 representation contains exactly four 0's and three 1's. A45036