Properties of the Number 42048

Forty-Two Thousand Forty-Eight

Basics

Value: 42047 → 42048 → 42049

Parity: even

Prime: No

Previous Prime: 42043

Next Prime: 42061

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 73

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: 1010010001000000

Octal: 122100

Duodecimal: 20400

Hexadecimal: a440

Square: 1768034304

Square Root: 205.05608988762074

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 subsets of {1...n} containing no element > 1 whose prime indices all belong to the subset. A324738

The first of three triangles counting 3-colored alternating permutations by their last value. A202692

Expansion of ∏_m>=1 (1+x^m)³. A22568

O.g.f. A(x) satisfies: A(x) = x*(1 - 2·x*A'(x)) / (1 - 3·x*A'(x)). A300987

a(n) is the number of large or small squares that are used to tile primitive squares of type 1 whose length of side is A344333(n). A344334

Triangle read by rows giving coefficients of polynomials arising in successive differences of (n!)_{n>=0}. A94791

Expansion of e.g.f. -exp(-x)*log(1 - x)/(1 - x). A300490

Triangle read by rows: matrix product of the Stirling numbers of the first kind with the binomial coefficients. A126353

a(n) = ∑_k=1..n (-1)^k+1 * floor(n/k)³. A344721

Triangle read by rows, T(n,k) = ∑_j=0..n C(-j,-n)*S1(j,k), S1 the Stirling cycle numbers A132393, for n>=0 and 0<=k<=n. A269954