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86111808 = 2634110939
BaseRepresentation
bin1010010000111…
…11011001000000
320000000221012020
411020133121000
5134021034213
612313401440
72063636556
oct510373100
9200027166
1086111808
1144676092
1224a09280
1314ac0243
14b617bd6
15785e923
hex521f640

86111808 has 56 divisors (see below), whose sum is σ = 233415840. Its totient is φ = 28001280.

The previous prime is 86111801. The next prime is 86111813. The reversal of 86111808 is 80811168.

It is not an unprimeable number, because it can be changed into a prime (86111801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2403 + ... + 13341.

It is an arithmetic number, because the mean of its divisors is an integer number (4168140).

Almost surely, 286111808 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 86111808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116707920).

86111808 is an abundant number, since it is smaller than the sum of its proper divisors (147304032).

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

86111808 is a wasteful number, since it uses less digits than its factorization.

86111808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 33.

The square root of 86111808 is about 9279.6448207892. The cubic root of 86111808 is about 441.5917006422.

The spelling of 86111808 in words is "eighty-six million, one hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 10939 21878 32817 43756 65634 87512 131268 175024 262536 350048 448499 525072 700096 896998 1050144 1345497 1793996 2100288 2690994 3587992 5381988 7175984 10763976 14351968 21527952 28703936 43055904 86111808