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86285664 = 2532299603
BaseRepresentation
bin1010010010010…
…01110101100000
320000100202200100
411021021311200
5134042120124
612321222400
72065262463
oct511116540
9200322610
1086285664
1144784773
1224a91a00
1314b5140a
14b6612da
1578961c9
hex5249d60

86285664 has 36 divisors (see below), whose sum is σ = 245375676. Its totient is φ = 28761792.

The previous prime is 86285663. The next prime is 86285699. The reversal of 86285664 is 46658268.

86285664 is a `hidden beast` number, since 86 + 2 + 8 + 566 + 4 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86285663) 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 5 ways as a sum of consecutive naturals, for example, 149514 + ... + 150089.

It is an arithmetic number, because the mean of its divisors is an integer number (6815991).

Almost surely, 286285664 is an apocalyptic number.

It is an amenable number.

86285664 is an abundant number, since it is smaller than the sum of its proper divisors (159090012).

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

86285664 is a wasteful number, since it uses less digits than its factorization.

86285664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299619 (or 299608 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 86285664 is about 9289.0076972732. The cubic root of 86285664 is about 441.8886856860. Note that the first 3 decimals are identical.

The spelling of 86285664 in words is "eighty-six million, two hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 299603 599206 898809 1198412 1797618 2396824 2696427 3595236 4793648 5392854 7190472 9587296 10785708 14380944 21571416 28761888 43142832 86285664