Properties of the Number 42288

Forty-Two Thousand Two Hundred Eighty-Eight

Basics

Value: 42287 → 42288 → 42289

Parity: even

Prime: No

Previous Prime: 42283

Next Prime: 42293

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 881

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1010010100110000

Octal: 122460

Duodecimal: 20580

Hexadecimal: a530

Square: 1788274944

Square Root: 205.64046294443125

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 A(n,k) of necklaces with n white beads and k·n black beads; square array A(n,k), n>=0, k>=0, read by antidiagonals. A261494

G.f. satisfies: A(x) = 1/(1 + x·A(x²)) and also the continued fraction: 1 + x·A(x³) = [1; 1/x, 1/x², 1/x⁴, 1/x⁸, ..., 1/x^{2^(n-1}), ...]. A101912

A(n,k) is (1/k) times the number of n-member subsets of [k·n] whose elements sum to a multiple of n; square array A(n,k), n>=1, k>=1, read by antidiagonals. A309148

Number of necklaces with 7 black beads and n-7 white beads. A32192

Number of permutations in S_n avoiding {bar 2}413{bar 5} (i.e., every occurrence of 413 is contained in an occurrence of a 24135). A137551

Number of necklaces with n white beads and 3·n black beads. A261497

Determinants of 5 X 5 matrices consisting of 25 consecutive primes. A118815

(1/4) times the number of n-member subsets of [4n] whose elements sum to a multiple of n. A309183

a(n) = ∑_k=0..n (k+1) * A026736(n,n-k). A27220

Numbers k such that Bernoulli number B_k has denominator 46410. A295590