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85956 = 223131929
BaseRepresentation
bin10100111111000100
311100220120
4110333010
510222311
61501540
7505413
oct247704
9140816
1085956
1159642
12418b0
1330180
142347a
151a706
hex14fc4

85956 has 48 divisors (see below), whose sum is σ = 235200. Its totient is φ = 24192.

The previous prime is 85933. The next prime is 85991. The reversal of 85956 is 65958.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85956.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

285956 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 85956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600).

85956 is an abundant number, since it is smaller than the sum of its proper divisors (149244).

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

85956 is a wasteful number, since it uses less digits than its factorization.

85956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 85956 is about 293.1825369970. The cubic root of 85956 is about 44.1325205799.

The spelling of 85956 in words is "eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 156 174 228 247 348 377 494 551 741 754 988 1102 1131 1482 1508 1653 2204 2262 2964 3306 4524 6612 7163 14326 21489 28652 42978 85956