Number of the day: 46016

Joseph Liouville was born on this day 209 years ago.

Properties of the number 46016:

46016 = 2⁶ × 719 is the 41254^th composite number and is not squarefree.
46016 has 2 distinct prime factors, 14 divisors, 3 antidivisors and 22976 totatives.
46016 has an emirp digit sum 17 in base 10.
46016 = 11505² - 11503² = 5754² - 5750² = 2880² - 2872² = 1446² - 1430² = 735² - 703² is the difference of 2 nonnegative squares in 5 ways.
46016 is the difference of 2 positive pentagonal numbers in 1 way.
46016 is not the sum of 3 positive squares.
46016² is the sum of 3 positive squares.
46016 is a proper divisor of 1439² - 1.
46016 = '4601' + '6' is the concatenation of 2 semiprime numbers.
46016 is palindromic in (at least) the following bases: 42, 72, 86, -62, and -81.
46016 in base 42 = Q3Q and consists of only the digits '3' and 'Q'.
46016 in base 61 = CMM and consists of only the digits 'C' and 'M'.

The number 46016 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A036893: Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).
A237632: Number of (n+1)X(3+1) 0..2 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one