Properties of the Number 40797

Forty Thousand Seven Hundred Ninety-Seven

Basics

Value: 40796 → 40797 → 40798

Parity: odd

Prime: No

Previous Prime: 40787

Next Prime: 40801

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1511

Divisors: 1, 3, 9, 27, 1511, 4533, 13599, 40797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111101011101

Octal: 117535

Duodecimal: 1B739

Hexadecimal: 9f5d

Square: 1664395209

Square Root: 201.9826725241549

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

Integers, a, which are the solutions to the equation a² + b³ = c⁴, with integers a, b > 0, and indexed off of A242183. A242184

Expansion of a(q) * b(q)³ in powers of q where a(), b() are cubic AGM θ functions. A215711

Expansion of b(2)*b(6)/(1 - 2·x + x³ - x⁴ - x⁵ + 2·x⁶), where b(k) = (1-x^k)/(1-x). A264079

Number of partitions of n that contain more prime parts than nonprime parts. A355225

Nonprimes n such that the sum of proper divisors of n and the product of proper divisors of n are both perfect cubes. A244429

Odd numbers n such that n² = m + (m+1), where both m and m+1 have no repeated digits. A261213

Continued fraction for sqrt(826). A40797