Wednesday, January 23, 2019

Number of the day: 48478

David Hilbert was born on this day 157 years ago.

Properties of the number 48478:

48478 = 2 × 24239 is semiprime and squarefree.
48478 has 2 distinct prime factors, 4 divisors, 29 antidivisors and 24238 totatives.
48478 has an emirp digit sum 31 in base 10.
48478 is the difference of 2 positive pentagonal numbers in 2 ways.
48478 = 302 + 472 + 2132 is the sum of 3 positive squares.
484782 is the sum of 3 positive squares.
48478 is a proper divisor of 312119 - 1.
48478 is an emirpimes in (at least) the following bases: 2, 6, 7, 8, 9, 11, 13, 17, 20, 21, 23, 29, 31, 32, 33, 39, 41, 43, 44, 49, 54, 56, 60, 61, 64, 66, 67, 70, 85, 91, and 94.
48478 is palindromic in (at least) the following bases: 47, and 74.
48478 in base 47 = LiL and consists of only the digits 'L' and 'i'.
48478 in base 50 = JJS and consists of only the digits 'J' and 'S'.

The number 48478 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033456: LCM-convolution of squares A000290 with themselves.
A211630: Number of ordered triples (w,x,y) with all terms in {-n, ..., -1, 1, ..., n} and 5w + x + y > 0.

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