Properties of the Number 42800

Forty-Two Thousand Eight Hundred

Basics

Value: 42799 → 42800 → 42801

Parity: even

Prime: No

Previous Prime: 42797

Next Prime: 42821

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 107

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010011100110000

Octal: 123460

Duodecimal: 20928

Hexadecimal: a730

Square: 1831840000

Square Root: 206.881608655772

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 sets with a congruence property. A2704

Coordination sequence for 4-dimensional I-centered tetragonal orthogonal lattice. A1386

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>n. A211640

Number of 4 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223840

Expansion of w₇/(1 + 13·w₇ + 49·w₇²) in powers of q, where w₇ = (η(7·q)/η(q))⁴. A279618

a(n) = 27*(n - 6)² + 4*(n - 6)³ = ((n - 6)²)*(4·n + 3). A245032

T(n,k) = number of n X k 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223838

E.g.f. A(x) satisfies: [xⁿ] A(x)^4·n = (n + 3) * [x^n-1] A(x)^4·n for n>=1. A300988

Numerators of continued fraction convergents to sqrt(931). A42800

Triangle, read by rows, such that row n equals the inverse binomial transform of column n of the triangle A034870 of coefficients in successive powers of the trinomial (1+2·x+x²), omitting leading zeros. A99605