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86201568 = 2532299311
BaseRepresentation
bin1010010001101…
…01010011100000
320000012111022200
411020311103200
5134031422233
612315333200
72064462345
oct510652340
9200174280
1086201568
1144727572
1224a51200
1314b2205b
14b63c7cc
15787b313
hex52354e0

86201568 has 36 divisors (see below), whose sum is σ = 245136528. Its totient is φ = 28733760.

The previous prime is 86201551. The next prime is 86201587. The reversal of 86201568 is 86510268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149368 + ... + 149943.

It is an arithmetic number, because the mean of its divisors is an integer number (6809348).

Almost surely, 286201568 is an apocalyptic number.

It is an amenable number.

86201568 is an abundant number, since it is smaller than the sum of its proper divisors (158934960).

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

86201568 is a wasteful number, since it uses less digits than its factorization.

86201568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299327 (or 299316 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 86201568 is about 9284.4799531261. The cubic root of 86201568 is about 441.7450807177.

The spelling of 86201568 in words is "eighty-six million, two hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 299311 598622 897933 1197244 1795866 2394488 2693799 3591732 4788976 5387598 7183464 9577952 10775196 14366928 21550392 28733856 43100784 86201568