Properties of the Number 49405

Forty-Nine Thousand Four Hundred Five

Basics

Value: 49404 → 49405 → 49406

Parity: odd

Prime: No

Previous Prime: 49393

Next Prime: 49409

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 41 × 241

Divisors: 1, 5, 41, 205, 241, 1205, 9881, 49405

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000011111101

Octal: 140375

Duodecimal: 24711

Hexadecimal: c0fd

Square: 2440854025

Square Root: 222.27235545609355

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 palindromic in base i-1. A342725

Number of strings of numbers x(i=1..n) in 0..8 with sum i·x(i)³ equal to n·512. A184719

The π-based arithmetic derivative of the n-th Fibonacci number. A259416

Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 7 or 8 king-move adjacent elements, with upper left element zero. A305581

T(n,k)=Number of strings of numbers x(i=1..n) in 0..k with sum i·x(i)³ equal to n·k³. A184720

An exotic continued fraction (for the real root of x³ - 8·x - 10). A2937

a(n) = 56·2ⁿ + 20·4ⁿ + 35·3ⁿ + 4·6ⁿ + 10·5ⁿ + 7ⁿ + 84. A254466

From a solution to the Prouhet-Tarry-Escott problem: 0ⁿ + 11ⁿ + 24ⁿ + 65ⁿ + 90ⁿ + 129ⁿ + 173ⁿ + 212ⁿ + 237ⁿ + 278ⁿ + 291ⁿ + 302ⁿ. A49405