Saturday, January 7, 2017

Number of the day: 91908

Properties of the number 91908:

91908 = 22 × 33 × 23 × 37 is the 83030th composite number and is not squarefree.
91908 has 4 distinct prime factors, 48 divisors, 23 antidivisors and 28512 totatives.
91908 = 229782 - 229762 = 76622 - 76562 = 25622 - 25442 = 10222 - 9762 = 8782 - 8242 = 6582 - 5842 = 4022 - 2642 = 3182 - 962 is the difference of 2 nonnegative squares in 8 ways.
91908 is the difference of 2 positive pentagonal numbers in 1 way.
91908 = 322 + 1302 + 2722 is the sum of 3 positive squares.
919082 = 298082 + 869402 is the sum of 2 positive squares in 1 way.
919082 is the sum of 3 positive squares.
91908 is a divisor of 9194 - 1.
91908 is palindromic in (at least) base -62.
91908 in base 26 = 55oo and consists of only the digits '5' and 'o'.
91908 in base 61 = Ogg and consists of only the digits 'O' and 'g'.

The number 91908 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A121969: Numbers n such that if you subtract n-reversed from n you get a natural number with the same digits as n.
A268346: Number of partitions of (3, n) into a sum of distinct pairs.

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