Saturday, January 6, 2018

Number of the day: 45388

Properties of the number 45388:

45388 = 22 × 7 × 1621 is the 40679th composite number and is not squarefree.
45388 has 3 distinct prime factors, 12 divisors, 9 antidivisors and 19440 totatives.
45388 has a triangular digit sum 28 in base 10.
Reversing the decimal digits of 45388 results in a sphenic number.
45388 = 113482 - 113462 = 16282 - 16142 is the difference of 2 nonnegative squares in 2 ways.
45388 is the sum of 2 positive triangular numbers.
45388 is the difference of 2 positive pentagonal numbers in 2 ways.
45388 = 102 + 782 + 1982 is the sum of 3 positive squares.
453882 = 218402 + 397882 is the sum of 2 positive squares in 1 way.
453882 is the sum of 3 positive squares.
45388 is a proper divisor of 30710 - 1.
45388 is palindromic in (at least) the following bases: 40, -44, and -64.
45388 in base 38 = VGG and consists of only the digits 'G' and 'V'.
45388 in base 40 = SES and consists of only the digits 'E' and 'S'.
45388 in base 43 = ONN and consists of only the digits 'N' and 'O'.
45388 in base 61 = CC4 and consists of only the digits '4' and 'C'.

The number 45388 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A111948: Admirable Harshad numbers n such that the subtracted divisor is equal to the digital sum of n.
A118471: a(0)=1. a(n) = a(n-1)*(n+1), if n is in the sequence. a(n)= a(n-1) +1, if n is missing from the sequence.

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