Properties of the Number 48919

Forty-Eight Thousand Nine Hundred Nineteen

Basics

Value: 48918 → 48919 → 48920

Parity: odd

Prime: No

Previous Prime: 48907

Next Prime: 48947

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 13 × 53 × 71

Divisors: 1, 13, 53, 71, 689, 923, 3763, 48919

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111100010111

Octal: 137427

Duodecimal: 24387

Hexadecimal: bf17

Square: 2393068561

Square Root: 221.17640018772346

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 k such that n or more consecutive integers starting at k have the same number of distinct prime divisors. A45983

Numbers n such that n through n+9 are divisible by the same number of distinct primes. A45938

Let d(n) = number of distinct primes dividing n (A001221). Find smallest t such that d(t)=d(t+1)=...=d(t+n-1) but d(t-1) and d(t+n) are not = d(t); then a(n)=t. A48932

a(n) is the first number in the first run of at least n successive numbers, all having exactly 3 distinct prime factors. A80569

Initial term of first run of exactly n consecutive numbers with 3 distinct prime factors. A185032

Numbers n such that n through n+6 are divisible by the same number of distinct primes. A45935

Numbers n such that n through n+7 are divisible by the same number of distinct primes. A45936

Numbers n such that n through n+8 are divisible by the same number of distinct primes. A45937

Let d(n) = number of distinct primes dividing n (A001221); sequence gives t such that d(t)=d(t+1)=...=d(t+n-1) is a run of record length. A48971

Convolution of A000203 with partition function (A000041) of positive integers. A86732