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58164012 = 22324793373
BaseRepresentation
bin1101110111100…
…0001100101100
311001110001000200
43131320030230
5104342222022
65434353500
71304246244
oct335701454
9131401020
1058164012
112a917535
121758b890
13c08639a
147a20b24
15518dbac
hex377832c

58164012 has 36 divisors (see below), whose sum is σ = 147376320. Its totient is φ = 19341792.

The previous prime is 58164011. The next prime is 58164017. The reversal of 58164012 is 21046185.

58164012 is a `hidden beast` number, since 5 + 8 + 1 + 640 + 12 = 666.

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

It is a super-2 number, since 2×581640122 = 6766104583872288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58164011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15558 + ... + 18930.

Almost surely, 258164012 is an apocalyptic number.

It is an amenable number.

58164012 is an abundant number, since it is smaller than the sum of its proper divisors (89212308).

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

58164012 is a wasteful number, since it uses less digits than its factorization.

58164012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58164012 is about 7626.5334195819. The cubic root of 58164012 is about 387.4521886207.

The spelling of 58164012 in words is "fifty-eight million, one hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 479 958 1437 1916 2874 3373 4311 5748 6746 8622 10119 13492 17244 20238 30357 40476 60714 121428 1615667 3231334 4847001 6462668 9694002 14541003 19388004 29082006 58164012