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86158044 = 223272291493
BaseRepresentation
bin1010010001010…
…10101011011100
320000010021121200
411020222223130
5134024024134
612314355500
72064221430
oct510525334
9200107550
1086158044
11446a78a5
1224a2bb90
1314b082bb
14b62a9c0
15786d499
hex522aadc

86158044 has 72 divisors (see below), whose sum is σ = 250155360. Its totient is φ = 24492672.

The previous prime is 86158013. The next prime is 86158063. The reversal of 86158044 is 44085168.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56962 + ... + 58454.

It is an arithmetic number, because the mean of its divisors is an integer number (3474380).

Almost surely, 286158044 is an apocalyptic number.

86158044 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86158044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125077680).

86158044 is an abundant number, since it is smaller than the sum of its proper divisors (163997316).

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

86158044 is a wasteful number, since it uses less digits than its factorization.

86158044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 86158044 is about 9282.1357456137. The cubic root of 86158044 is about 441.6707210893.

The spelling of 86158044 in words is "eighty-six million, one hundred fifty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 229 252 458 687 916 1374 1493 1603 2061 2748 2986 3206 4122 4479 4809 5972 6412 8244 8958 9618 10451 13437 14427 17916 19236 20902 26874 28854 31353 41804 53748 57708 62706 94059 125412 188118 341897 376236 683794 1025691 1367588 2051382 2393279 3077073 4102764 4786558 6154146 7179837 9573116 12308292 14359674 21539511 28719348 43079022 86158044