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86064741 = 337659691
BaseRepresentation
bin1010010000100…
…11111001100101
312222221112122000
411020103321211
5134013032431
612312355513
72063352420
oct510237145
9188845560
1086064741
1144643794
12249a5b99
1314aa49a9
14b6049b7
1578509e6
hex5213e65

86064741 has 32 divisors (see below), whose sum is σ = 146150400. Its totient is φ = 49034160.

The previous prime is 86064707. The next prime is 86064749. The reversal of 86064741 is 14746068.

86064741 is a `hidden beast` number, since 8 + 6 + 0 + 647 + 4 + 1 = 666.

It is not a de Polignac number, because 86064741 - 26 = 86064677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86064696 and 86064705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86064749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124206 + ... + 124896.

It is an arithmetic number, because the mean of its divisors is an integer number (4567200).

Almost surely, 286064741 is an apocalyptic number.

It is an amenable number.

86064741 is a deficient number, since it is larger than the sum of its proper divisors (60085659).

86064741 is a wasteful number, since it uses less digits than its factorization.

86064741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86064741 is about 9277.1084395947. The cubic root of 86064741 is about 441.5112309018.

The spelling of 86064741 in words is "eighty-six million, sixty-four thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 659 691 1977 2073 4613 4837 5931 6219 13839 14511 17793 18657 41517 43533 124551 130599 455369 1366107 3187583 4098321 9562749 12294963 28688247 86064741