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82936 = 2371481
BaseRepresentation
bin10100001111111000
311012202201
4110033320
510123221
61435544
7463540
oct241770
9135681
1082936
1157347
123bbb4
132b999
1422320
1519891
hex143f8

82936 has 16 divisors (see below), whose sum is σ = 177840. Its totient is φ = 35520.

The previous prime is 82913. The next prime is 82939. The reversal of 82936 is 63928.

82936 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82939) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 685 + ... + 796.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

82936 is a Friedman number, since it can be written as (96*3)^2-8, using all its digits and the basic arithmetic operations.

282936 is an apocalyptic number.

It is an amenable number.

82936 is an abundant number, since it is smaller than the sum of its proper divisors (94904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88920).

82936 is a wasteful number, since it uses less digits than its factorization.

82936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1490 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 82936 is about 287.9861107762. The cubic root of 82936 is about 43.6094920837.

The spelling of 82936 in words is "eighty-two thousand, nine hundred thirty-six".