Properties of the Number 49031

Forty-Nine Thousand Thirty-One

Basics

Value: 49030 → 49031 → 49032

Parity: odd

Prime: Yes

Previous Prime: 49019

Next Prime: 49033

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 49031

Divisors: 1, 49031

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111110000111

Octal: 137607

Duodecimal: 2445B

Hexadecimal: bf87

Square: 2404038961

Square Root: 221.4294470028772

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

Number of partitions of n where the difference between consecutive parts is at most 8. A238868

Prime numbers p such that x² + x + p produces primes for x = 0..3 but not x = 4. A210362

Number of permutations of length n which avoid the patterns 123, 3241. A116702

First of three consecutive Ulam numbers (A002858) in arithmetic progression with difference 22. A68856

Non-palindromic primes which on subtracting their reversal gives perfect cubes. A80178

Number of compositions of n where neighboring runs have different lengths. A335443

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (1, -1, -1), (1, 0, 0), (1, 1, -1)}. A148149

a(n) = A159065(n+1) - A334701(n). A335677

Maximization of sums of cubes of integer differences (b_[ i ]-i)³ over permutations {b_[ i ], for i-1,2,...,n} on first n integers. A49031