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86431842 = 23271740351
BaseRepresentation
bin1010010011011…
…01100001100010
320000122012012100
411021231201202
5134111304332
612324311230
72066441610
oct511554142
9200565170
1086431842
1144874582
1224b42516
1314ba2b03
14b69c6b0
1578c467c
hex526d862

86431842 has 48 divisors (see below), whose sum is σ = 226616832. Its totient is φ = 23241600.

The previous prime is 86431837. The next prime is 86431843. The reversal of 86431842 is 24813468.

86431842 is a `hidden beast` number, since 8 + 643 + 1 + 8 + 4 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86431797 and 86431806.

It is not an unprimeable number, because it can be changed into a prime (86431843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18034 + ... + 22317.

It is an arithmetic number, because the mean of its divisors is an integer number (4721184).

Almost surely, 286431842 is an apocalyptic number.

86431842 is an abundant number, since it is smaller than the sum of its proper divisors (140184990).

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

86431842 is a wasteful number, since it uses less digits than its factorization.

86431842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40383 (or 40380 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 86431842 is about 9296.8726999997. The cubic root of 86431842 is about 442.1380819309.

The spelling of 86431842 in words is "eighty-six million, four hundred thirty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 40351 80702 121053 242106 282457 363159 564914 685967 726318 847371 1371934 1694742 2057901 2542113 4115802 4801769 5084226 6173703 9603538 12347406 14405307 28810614 43215921 86431842