Properties of the Number 45024

Forty-Five Thousand Twenty-Four

Basics

Value: 45023 → 45024 → 45025

Parity: even

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 7 × 67

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111111100000

Octal: 127740

Duodecimal: 22080

Hexadecimal: afe0

Square: 2027160576

Square Root: 212.1885953579975

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

Number of polygons formed when connecting all 4n points on the perimeter of an n X n square by infinite lines. A345459

Number of essentially different ways in which the squares 1,4,9,...,n² can be arranged in a sequence such that all pairs of adjacent squares sum to a prime number. Rotations and reversals are counted only once. A73451

Expansion of ∏_{m >= 1} (1-m·q^m)¹⁴. A22674

Triangle of numbers where T(n,k) is the number of k-dimensional faces on a partially truncated n-cube, 0 <= k <= n. A271316

a(n) = 81·n² - 69·n + 24. A304616

Number of (n+1) X 4 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. A207045

Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum. A212534

Number of nX2 0..2 arrays with exactly floor(nX2/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222667

Number of ways of getting (at least) 5 of a kind, a straight flush, flush, 4 of a kind, full house, straight, 3 of a kind, 2 pair, a pair in wild-card poker with deuces wild. A57802

Numbers k such that nonprime(k) divides k². A226011