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86158752 = 2531376551
BaseRepresentation
bin1010010001010…
…10110110100000
320000010022120220
411020222312200
5134024040002
612314403040
72064223461
oct510526640
9200108526
1086158752
11446a8389
1224a30480
1314b08714
14b62ad68
15786d7bc
hex522ada0

86158752 has 48 divisors (see below), whose sum is σ = 227852352. Its totient is φ = 28505600.

The previous prime is 86158741. The next prime is 86158781. The reversal of 86158752 is 25785168.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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, 9877 + ... + 16427.

It is an arithmetic number, because the mean of its divisors is an integer number (4746924).

Almost surely, 286158752 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 86158752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113926176).

86158752 is an abundant number, since it is smaller than the sum of its proper divisors (141693600).

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

86158752 is a wasteful number, since it uses less digits than its factorization.

86158752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6693 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 86158752 is about 9282.1738833099. The cubic root of 86158752 is about 441.6719308894.

The spelling of 86158752 in words is "eighty-six million, one hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6551 6576 13102 13152 19653 26204 39306 52408 78612 104816 157224 209632 314448 628896 897487 1794974 2692461 3589948 5384922 7179896 10769844 14359792 21539688 28719584 43079376 86158752