Properties of the Number 40272

Forty Thousand Two Hundred Seventy-Two

Basics

Value: 40271 → 40272 → 40273

Parity: even

Prime: No

Previous Prime: 40253

Next Prime: 40277

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 839

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

2196 Try Today's Challenge

Representations

Binary: 1001110101010000

Octal: 116520

Duodecimal: 1B380

Hexadecimal: 9d50

Square: 1621833984

Square Root: 200.67884791377492

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

Triangle read by rows: T(n,k) is the number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly k local maxima. A334778

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = ∑_k>=0 y^k * [R_n·k(y)]^n·k for n>=0, with R₀(y)=1/(1-y). A124560

Number of integer partitions of n whose parts do not have choosable sets of strict integer partitions. A387137

Row 2 of table A124560; also, the self-convolution square equals A124552, which is row 2 of table A124550. A124562

Triangle T(n, k) = k! - n! + (n-k)! read by rows. A155170

Expansion of (1-x)^-1/(1-2·x+x²+x³). A77856

Number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly 6 local maxima. A159720

Number of permutations p of [n] such that in 0p the largest up-jump equals nine xx and no down-jump is larger than 2. A321116

Number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly n local maxima. A334779

Numbers n with ω(n) = ω of 3 nearest larger and 3 nearest smaller neighbors. A101936