Properties of the Number 49260

Forty-Nine Thousand Two Hundred Sixty

Basics

Value: 49259 → 49260 → 49261

Parity: even

Prime: No

Previous Prime: 49253

Next Prime: 49261

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 821

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100000001101100

Octal: 140154

Duodecimal: 24610

Hexadecimal: c06c

Square: 2426547600

Square Root: 221.9459393636207

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

Let Do(n) = A006566(n) = n-th dodecahedral number. Consider all integer triples (i,j,k), j >= k > 0, with Do(i) = Do(j) + Do(k), ordered by increasing i; sequence gives k values. A53019

a(n) = 49n² - 28n - 20. A118058

Total number of inversions in all compositions of n into distinct parts. A271372

Expansion of ∑_k>=0 k⁴ * x^k/(1 - k·x). A349879

Coefficients in the expansion of ([s] + [2s]x + [3s]x² + ...)/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = sqrt(3), s = sqrt(2). A279629

Number of unordered pairs of 4-colorings of an n-wheel that differ in the coloring of exactly one vertex. A309379

Numbers n such that sum k/d(k) is an integer, where d(k) is the k-th divisor of n (the divisors of n are in decreasing order). A73083

Total sum of parts which are squares in all partitions of n. A342228

Triangle, read by rows, where row n lists the coefficients of x^k, k=1..2ⁿ, in the n-th iteration of (x + x²) for n>=0. A122888

Smallest nonnegative value taken on by n·x² - y² for an infinite number of integer pairs (x, y). A49260