Properties of the Number 38808

Thirty-Eight Thousand Eight Hundred Eight

Basics

Value: 38807 → 38808 → 38809

Parity: even

Prime: No

Previous Prime: 38803

Next Prime: 38821

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 7 ² × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 11, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001011110011000

Octal: 113630

Duodecimal: 1A560

Hexadecimal: 9798

Square: 1506060864

Square Root: 196.99746191258404

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) = binomial(n, k)*binomial(n + 2, k). A62196

Number T(n,k) of ordered set partitions of [n] where the maximal block size equals k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A276922

a(n) = 22·n². A195323

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 101 in rows and columns. A202202

Square array read by ascending antidiagonals: T(n,k) = (2·k)!/k! * ( (2·n*k)! * ((2·n+1)*k)! )/( (n·k)!² * ((n+1)*k)!² ). A364506

Expansion of q * ψ(q²) * ψ(-q⁹) / (φ(-q³) * ψ(-q³)) in powers of q where φ(), ψ() are Ramanujan θ functions. A139214

Expansion of f(x³, x³) * f(x, x⁵) / f(x, x)² in powers of·where f(,) is Ramanujan's general θ function. A261325

Number of sequences of length 2·n covering an initial interval of positive integers and splitting into n maximal runs. A337564

Central coefficients of Moebius polynomials (A074586): coefficient of x^n/2-1/2 if n is odd; coefficient of x^n/2-1 if n is even and >4. The n-th Moebius polynomial, M(n,x), satisfies M(n,-1)=μ(n) the Moebius function of n. A77596

Numbers with prime factorization p·q²*r²*s³ (where p, q, r, s are distinct primes). A190109