Properties of the Number 49385

Forty-Nine Thousand Three Hundred Eighty-Five

Basics

Value: 49384 → 49385 → 49386

Parity: odd

Prime: No

Previous Prime: 49369

Next Prime: 49391

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 17 × 83

Divisors: 1, 5, 7, 17, 35, 83, 85, 119, 415, 581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1100000011101001

Octal: 140351

Duodecimal: 246B5

Hexadecimal: c0e9

Square: 2438878225

Square Root: 222.2273610516941

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

At stage 1, start with a unit square. At each successive stage add 4*(n-1) new squares around outside with edge-to-edge contacts. Sequence gives number of squares (regardless of size) at n-th stage. A56640

Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n. A121346

Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1). A349941

Triangle of numerators for rational convergents to Taylor series of 1/γ(x+1) (not in lowest terms). A386677

a(n) = (1/24)*(n+1)*(n+3)*(n²+22·n+88). A90950

a(n) = n*(n + 1)*(7·n + 11)/6. A255687

Triangle of numbers related to triangle A049375; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297... A49385

First number beginning the smallest chain of n consecutive odd divisors, with no even divisor between, of some factorial s!. A218493