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BaseRepresentation
bin10100011001001100
311020120210
4110121030
510133112
61442420
7465351
oct243114
9136523
1083532
1157839
1240410
132c037
1422628
1519b3c
hex1464c

83532 has 12 divisors (see below), whose sum is σ = 194936. Its totient is φ = 27840.

The previous prime is 83497. The next prime is 83537. The reversal of 83532 is 23538.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 83499 and 83508.

It is not an unprimeable number, because it can be changed into a prime (83537) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3469 + ... + 3492.

283532 is an apocalyptic number.

It is an amenable number.

83532 is an abundant number, since it is smaller than the sum of its proper divisors (111404).

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 (97468).

83532 is a wasteful number, since it uses less digits than its factorization.

83532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6966 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 83532 is about 289.0190305153. The cubic root of 83532 is about 43.7137059540.

The spelling of 83532 in words is "eighty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 6961 13922 20883 27844 41766 83532