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85988 = 2273783
BaseRepresentation
bin10100111111100100
311100221202
4110333210
510222423
61502032
7505460
oct247744
9140852
1085988
1159671
1241918
13301a6
14234a0
151a728
hex14fe4

85988 has 24 divisors (see below), whose sum is σ = 178752. Its totient is φ = 35424.

The previous prime is 85933. The next prime is 85991. The reversal of 85988 is 88958.

It is a super-2 number, since 2×859882 = 14787872288, which contains 22 as substring.

It is an unprimeable number.

85988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 995 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

285988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

85988 is an abundant number, since it is smaller than the sum of its proper divisors (92764).

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

85988 is a wasteful number, since it uses less digits than its factorization.

85988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 23040, while the sum is 38.

The square root of 85988 is about 293.2371054284. The cubic root of 85988 is about 44.1379965034.

The spelling of 85988 in words is "eighty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 37 74 83 148 166 259 332 518 581 1036 1162 2324 3071 6142 12284 21497 42994 85988