Thursday, September 15, 2016

Number of the day: 78859

Properties of the number 78859:

78859 = 11 × 67 × 107 is a sphenic number and squarefree.
78859 has 3 distinct prime factors, 8 divisors, 15 antidivisors and 69960 totatives.
78859 has an emirp digit sum 37 in base 10.
Reversing the decimal digits of 78859 results in a sphenic number.
78859 = (11 × 12)/2 + … + (77 × 78)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
78859 = 394302 - 394292 = 35902 - 35792 = 6222 - 5552 = 4222 - 3152 is the difference of 2 nonnegative squares in 4 ways.
78859 is the sum of 2 positive triangular numbers.
78859 is the difference of 2 positive pentagonal numbers in 4 ways.
78859 = 172 + 272 + 2792 is the sum of 3 positive squares.
788592 is the sum of 3 positive squares.
78859 is a divisor of 85722 - 1.
78859 is palindromic in (at least) the following bases: -88, and -95.

The number 78859 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A058601: McKay-Thompson series of class 27b for the Monster group.

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