Properties of the Number 57888

Fifty-Seven Thousand Eight Hundred Eighty-Eight

Basics

Value: 57887 → 57888 → 57889

Parity: even

Prime: No

Previous Prime: 57881

Next Prime: 57899

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 67

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110001000100000

Octal: 161040

Duodecimal: 29600

Hexadecimal: e220

Square: 3351020544

Square Root: 240.59925186916107

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) = ∑_k=0..n C(4·k,k)*C(4*(n-k),n-k). A78995

G.f.: ∏_j>=1 (1+x^j)^{3^j}. A256142

Numbers with prime factorization pq^3r^5. A190011

Composite numbers such that ∑_i=1..k (p_i/(p_i+1))/∏_i=1..k (p_i/(p_i+1)) is an integer, where p_i are the k prime factors of n (with multiplicity). A227248

a(n) = n!*((n+1)/2 + 2*∑_k=2..n-1(n-k)/(k+1)). A344216

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=0..n binomial(k·j,j) * binomial(k*(n-j),n-j). A358050

Triangle read by rows: T(n, k) is the number of singular meanders with n intersections having k tangential intersections. A391919

Number of n X 4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically. A207678

In Japanese: 1-digit numbers in a-i-u-e-o order, then 2-digit numbers in a-i-u-e-o order, etc. A57888