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82332 = 22322287
BaseRepresentation
bin10100000110011100
311011221100
4110012130
510113312
61433100
7462015
oct240634
9134840
1082332
1156948
123b790
132b623
142200c
15195dc
hex1419c

82332 has 18 divisors (see below), whose sum is σ = 208208. Its totient is φ = 27432.

The previous prime is 82307. The next prime is 82339. The reversal of 82332 is 23328.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82339) by changing a digit.

82332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1108 + ... + 1179.

282332 is an apocalyptic number.

It is an amenable number.

82332 is an abundant number, since it is smaller than the sum of its proper divisors (125876).

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

82332 is a wasteful number, since it uses less digits than its factorization.

82332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2292 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 82332 is about 286.9355328292. The cubic root of 82332 is about 43.5033687443.

It can be divided in two parts, 82 and 332, that added together give a palindrome (414).

The spelling of 82332 in words is "eighty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2287 4574 6861 9148 13722 20583 27444 41166 82332