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88083 = 329787
BaseRepresentation
bin10101100000010011
311110211100
4111200103
510304313
61515443
7514542
oct254023
9143740
1088083
11601a6
1242b83
1331128
1424159
151b173
hex15813

88083 has 6 divisors (see below), whose sum is σ = 127244. Its totient is φ = 58716.

The previous prime is 88079. The next prime is 88093. The reversal of 88083 is 38088.

It is not a de Polignac number, because 88083 - 22 = 88079 is a prime.

It is a super-2 number, since 2×880832 = 15517229778, which contains 22 as substring.

It is a Duffinian number.

88083 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (88003) 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 5 ways as a sum of consecutive naturals, for example, 4885 + ... + 4902.

288083 is an apocalyptic number.

88083 is a deficient number, since it is larger than the sum of its proper divisors (39161).

88083 is a wasteful number, since it uses less digits than its factorization.

88083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88083 is about 296.7878029839. The cubic root of 88083 is about 44.4935815344.

The spelling of 88083 in words is "eighty-eight thousand, eighty-three".

Divisors: 1 3 9 9787 29361 88083