Properties of the Number 38392

Thirty-Eight Thousand Three Hundred Ninety-Two

Basics

Value: 38391 → 38392 → 38393

Parity: even

Prime: No

Previous Prime: 38377

Next Prime: 38393

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 4799

Divisors: 1, 2, 4, 8, 4799, 9598, 19196, 38392

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001010111111000

Octal: 112770

Duodecimal: 1A274

Hexadecimal: 95f8

Square: 1473945664

Square Root: 195.9387659448737

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically. A254242

Number of partitions p of n such that mean(p) <= multiplicity(min(p)). A240204

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)² * x^k*(2-x)^n-k. A217616

Number of 5 X n 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224149

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically. A254236

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally and vertically. A254237

T(n,k) = Number of n X k 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing. A224146

Number of mono-4-polyhexes with n cells. A38392