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85505085 = 3351016271
BaseRepresentation
bin1010001100010…
…11010000111101
312221220002221000
411012023100331
5133342130320
612252400513
72055531651
oct506132075
9187802830
1085505085
11442a1266
1224776139
131493a033
14b4daa61
15778ec90
hex518b43d

85505085 has 32 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 45144000.

The previous prime is 85505081. The next prime is 85505089. The reversal of 85505085 is 58050558.

It is an interprime number because it is at equal distance from previous prime (85505081) and next prime (85505089).

It is not a de Polignac number, because 85505085 - 22 = 85505081 is a prime.

It is a super-2 number, since 2×855050852 = 14622239121714450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85505081) 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, 10500 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (4798080).

Almost surely, 285505085 is an apocalyptic number.

It is an amenable number.

85505085 is a deficient number, since it is larger than the sum of its proper divisors (68033475).

85505085 is a wasteful number, since it uses less digits than its factorization.

85505085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The square root of 85505085 is about 9246.8959656741. The cubic root of 85505085 is about 440.5521391522.

The spelling of 85505085 in words is "eighty-five million, five hundred five thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 101 135 303 505 909 1515 2727 4545 6271 13635 18813 31355 56439 94065 169317 282195 633371 846585 1900113 3166855 5700339 9500565 17101017 28501695 85505085