Friday, December 30, 2016

Number of the day: 83726

Properties of the number 83726:

83726 = 2 × 41863 is semiprime and squarefree.
83726 has 2 distinct prime factors, 4 divisors, 9 antidivisors and 41862 totatives.
83726 has an emirpimes digit sum 26 in base 10.
83726 has a triangular digit product 2016 in base 10.
83726 = 392 + 462 + 2832 is the sum of 3 positive squares.
837262 is the sum of 3 positive squares.
83726 is a divisor of 76977 - 1.
83726 = '8372' + '6' is the concatenation of 2 oblong numbers.
83726 is an emirpimes in (at least) the following bases: 2, 8, 16, 19, 22, 23, 26, 29, 36, 39, 40, 45, 47, 50, 51, 53, 56, 57, 59, 62, 65, 69, 71, 74, 78, 83, 85, 86, 87, 91, 94, and 99.
83726 is palindromic in (at least) the following bases: 49, 68, and -71.
83726 in base 23 = 6k66 and consists of only the digits '6' and 'k'.
83726 in base 49 = YgY and consists of only the digits 'Y' and 'g'.

The number 83726 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A239687: Numbers n such that if n = a U b (where U denotes concatenation) then abs(sigma*(a) - sigma*(b)) = abs(sigma*(n) - n), where sigma*(n) is the sum of the anti-divisors of n.

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