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82692 = 22322297
BaseRepresentation
bin10100001100000100
311012102200
4110030010
510121232
61434500
7463041
oct241404
9135380
1082692
1157145
123ba30
132b83c
14221c8
151977c
hex14304

82692 has 18 divisors (see below), whose sum is σ = 209118. Its totient is φ = 27552.

The previous prime is 82657. The next prime is 82699. The reversal of 82692 is 29628.

82692 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 12996 = 264^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (82699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1113 + ... + 1184.

282692 is an apocalyptic number.

It is an amenable number.

82692 is an abundant number, since it is smaller than the sum of its proper divisors (126426).

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

82692 is a wasteful number, since it uses less digits than its factorization.

82692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2302 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 82692 is about 287.5621671917. The cubic root of 82692 is about 43.5666832984.

The spelling of 82692 in words is "eighty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 2297 4594 6891 9188 13782 20673 27564 41346 82692