Properties of the Number 40393

Forty Thousand Three Hundred Ninety-Three

Basics

Value: 40392 → 40393 → 40394

Parity: odd

Prime: No

Previous Prime: 40387

Next Prime: 40423

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 31 × 1303

Divisors: 1, 31, 1303, 40393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110111001001

Octal: 116711

Duodecimal: 1B461

Hexadecimal: 9dc9

Square: 1631594449

Square Root: 200.98009851724126

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

Numbers that are the sum of 7 positive 9th powers. A3396

Base 4 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-4 digits, for some k. A162219

Greatest integer equal to the sum of the n-th powers of its base-4 digits (written in base 10). A162221

Sum of the two smallest parts from the partitions of 4n into 4 parts with smallest part = 1. A239059

Cubes written backwards. A4165

Expansion of ∏_k>=1 1 / (1 - x^k)^{k*(3·k + 2}). A294692

Odd numbers m for which A379113(m²) > 1, i.e., k = m² has a proper unitary divisor d > 1 such that A048720(A065621(σ(d)),σ(k/d)) is equal to σ(k). A379122

a(n) is the n-th J₁₃-prime (Josephus₁₃ prime). A163793

a(n) = n³ + (1-n)². A168297

a(n) = binomial(n,0) - binomial(n,2) + binomial(n,4). A58923