Properties of the Number 44928

Forty-Four Thousand Nine Hundred Twenty-Eight

Basics

Value: 44927 → 44928 → 44929

Parity: even

Prime: No

Previous Prime: 44927

Next Prime: 44939

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁷ × 3 ³ × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111110000000

Octal: 127600

Duodecimal: 22000

Hexadecimal: af80

Square: 2018525184

Square Root: 211.96226079186832

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 strings of length n over Z₆ with trace 1 and subtrace 3. A73980

Number of strings of length n over Z₆ with trace 3 and subtrace 5. A73994

Number of strings of length n over Z₆ with trace 1 and subtrace 0. A73977

Number of strings of length n over Z₆ with trace 3 and subtrace 2. A73991

a(n) = (4·n+1) * (5·n+1)^n-2 * 6ⁿ. A251696

Numbers n for which there exists k > n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255334

Triangle T(n,m,p,q) = (p^n-k*q^k + p^k*q^n-k)*(StirlingS2(n, k) + StirlingS2(n, n-k)) with p=2 and q=3, read by rows. A154916

Array read by antidiagonals: T(n,m) is the number of maximum matchings in the rook graph K_n X K_m. A341850

G.f. A(x) defined by: A(x)³ consists entirely of integer coefficients between 1 and 3 (A083953); A(x) is the unique power series solution with A(0)=1. A84203

Array read by rows: T(n,k) is the number of solutions to the equation ∑_i=1..n x_i² == k (mod 6) with x_i in 0..5, where n >= 0 and 0 <= k <= 5. A330635