Properties of the Number 40250

Forty Thousand Two Hundred Fifty

Basics

Value: 40249 → 40250 → 40251

Parity: even

Prime: No

Previous Prime: 40241

Next Prime: 40253

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 ³ × 7 × 23

Divisors: 1, 2, 5, 7, 10, 14, 23, 25, 35, 46

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110100111010

Octal: 116472

Duodecimal: 1B362

Hexadecimal: 9d3a

Square: 1620062500

Square Root: 200.62402647738878

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

4-dimensional pyramidal numbers: a(n) = (3·n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n). A1296

Integers k such that k = Sum k/(p_i + j), where p_i are the prime factors of k (with multiplicity). Case j = 1. A380889

Number of partitions p of n such that neither floor(mean(p)) nor ceiling(mean(p)) is a part. A241343

Structured triakis octahedral numbers (vertex structure 4). A100171

Degrees of irreducible representations of Conway group Co3. A3910

Number of binary strings of length n with equal numbers of 0010 and 1011 substrings. A164171

Number of 0..n arrays x(0..3) of 4 elements with each no smaller than the sum of its two previous neighbors modulo (n+1). A207101

The nonzero difference between the Pascal {1,8,1} level triangle sequence and the {1,8,1} Catalan generalized triangle: t0(n,m)=Binomial[n, m]*Product[k!*(n + k)!/((m + k)!*(n - m + k)!), {k, 1, 7}]. A(n,k)=(3·n - 3·k + 1)A(n - 1, k - 1) + (3·k - 2)A(n - 1, k); t(n,m)=A(n,m)-t0(n,m). The first three levels and the external columns are zero and extracted. A142469

Continued fraction for sqrt(267). A40250

Number of (n+2)X3 binary arrays with no 3X3 subblock commuting with any horizontal or vertical neighbor 3X3 subblock. A186798