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86311936 = 210312719
BaseRepresentation
bin1010010010100…
…00010000000000
320000102002201101
411021100100000
5134043440221
612321544144
72065432204
oct511202000
9200362641
1086311936
11447a2487
1224aa5054
1314b60369
14b66ab04
15789dd91
hex5250400

86311936 has 44 divisors (see below), whose sum is σ = 178170880. Its totient is φ = 41748480.

The previous prime is 86311921. The next prime is 86311943. The reversal of 86311936 is 63911368.

It is a junction number, because it is equal to n+sod(n) for n = 86311895 and 86311904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30385 + ... + 33103.

Almost surely, 286311936 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 86311936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89085440).

86311936 is an abundant number, since it is smaller than the sum of its proper divisors (91858944).

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

86311936 is a wasteful number, since it uses less digits than its factorization.

86311936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2752 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 86311936 is about 9290.4217342379. The cubic root of 86311936 is about 441.9335294486.

The spelling of 86311936 in words is "eighty-six million, three hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2719 3968 5438 7936 10876 15872 21752 31744 43504 84289 87008 168578 174016 337156 348032 674312 696064 1348624 1392128 2697248 2784256 5394496 10788992 21577984 43155968 86311936