Properties of the Number 40208

Forty Thousand Two Hundred Eight

Basics

Value: 40207 → 40208 → 40209

Parity: even

Prime: No

Previous Prime: 40193

Next Prime: 40213

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 7 × 359

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1001110100010000

Octal: 116420

Duodecimal: 1B328

Hexadecimal: 9d10

Square: 1616683264

Square Root: 200.51932575190853

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 partitions of n such that the number of even parts is a part. A240573

EULER transform of A001511. A92119

Number of open knight's tour diagrams of a 3 X n chessboard that have "type X": both endpoints occur in the same column. A169770

Triangle T(n, k) = 2*(n+1 - mod(n, k+1) - mod(n, n-k+1) ) + (n! - k! - (n-k)!) read by rows. A176151

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125). A204126

G.f. A(x) satisfies A(x) = (1 + x)² + x·A(x)⁴ / (1 + x)³. A367641

a(n) = a(n-1) + 2·a(n-2) + 8·Fibonacci(n) + 2·Fibonacci(n-1); a(1) = 4, a(2) = 14. A291675

a(n) = binomial(n+7, 7)*(n+4)/4. A53347

Number of n-vertex knight's tours on the 8x8 chessboard summed over all choices for the starting position. A186441

Continued fraction for sqrt(223). A40208