Properties of the Number 57024

Fifty-Seven Thousand Twenty-Four

Basics

Value: 57023 → 57024 → 57025

Parity: even

Prime: No

Previous Prime: 56999

Next Prime: 57037

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ⁴ × 11

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101111011000000

Octal: 157300

Duodecimal: 29000

Hexadecimal: dec0

Square: 3251736576

Square Root: 238.7969849055888

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

G.f. A(x) satisfies: A(x) = (1 + x·A(x)⁷) / (1 - x). A349313

Let A denote the sequence; A is equal to the union of the self-convolutions A² and A³, with terms in ascending order by size. A90845

Numbers k that can be expressed as k = w+x = y·z with w·x = (y+z)³ where w, x, y, and z are all positive integers. A57370

Row sums in A083167. A83170

Expansion of (1+18·x)^1/3. A108733

[r]*[2r]*[3r]*...[nr], where r=(1+sqrt(5))/2 and []=floor. A147998

Self-convolution square of A090845. A222082

Numbers with a record number of distinct values of the Euler totient function applied to their divisors (A319696). A328858

a(n) = 1/(∑_k=1..n 1/φ(A341810(n)*k)). A341811

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>2z. A212504