Number of the day: 48808

William Rowan Hamilton was born on this day 217 years ago.

John Venn was born on this day 188 years ago.

Properties of the number 48808:

48808 = 2³ × 6101 is the 43789^th composite number and is not squarefree.
48808 has 2 distinct prime factors, 8 divisors, 13 antidivisors and 24400 totatives.
48808 has a triangular digit sum 28 in base 10.
48808 = 12203² - 12201² = 6103² - 6099² is the difference of 2 nonnegative squares in 2 ways.
48808 is the sum of 2 positive triangular numbers.
48808 is the difference of 2 positive pentagonal numbers in 2 ways.
48808 = 98² + 198² is the sum of 2 positive squares in 1 way.
48808 = 8² + 150² + 162² is the sum of 3 positive squares.
48808² = 29600² + 38808² is the sum of 2 positive squares in 1 way.
48808² is the sum of 3 positive squares.
48808 is a proper divisor of 1723¹⁰ - 1.
48808 is palindromic in (at least) the following bases: 47, -57, -59, and -80.
48808 in base 47 = M4M and consists of only the digits '4' and 'M'.

The number 48808 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A175103: Integers n such that 17+30*n are terms in A172456.
A248488: Number of length n+5 0..7 arrays with some three disjoint pairs in each consecutive six terms having the same sum.
A248493: Number of length 4+5 0..n arrays with some three disjoint pairs in each consecutive six terms having the same sum