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90164627 = 7179227317
BaseRepresentation
bin1010101111111…
…00110110010011
320021122211121122
411113330312103
5141040232002
612540312455
72143246430
oct527746623
9207584548
1090164627
1146994023
122624272b
13158abb67
14bd90b87
157db06a2
hex55fcd93

90164627 has 16 divisors (see below), whose sum is σ = 104405760. Its totient is φ = 76272288.

The previous prime is 90164611. The next prime is 90164639. The reversal of 90164627 is 72646109.

It is a cyclic number.

It is not a de Polignac number, because 90164627 - 24 = 90164611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90161627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284273 + ... + 284589.

It is an arithmetic number, because the mean of its divisors is an integer number (6525360).

Almost surely, 290164627 is an apocalyptic number.

90164627 is a deficient number, since it is larger than the sum of its proper divisors (14241133).

90164627 is a wasteful number, since it uses less digits than its factorization.

90164627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 90164627 is about 9495.5056210820. The cubic root of 90164627 is about 448.4135527452.

The spelling of 90164627 in words is "ninety million, one hundred sixty-four thousand, six hundred twenty-seven".

Divisors: 1 7 179 227 317 1253 1589 2219 40633 56743 71959 284431 397201 503713 12880661 90164627