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264182085 = 3255870713
BaseRepresentation
bin11111011111100…
…01100101000101
3200102002211200200
433233301211011
51020112311320
642114201113
76355340106
oct1757614505
9612084620
10264182085
1112613aa02
1274583199
134296997b
142712c3ad
15182d6290
hexfbf1945

264182085 has 12 divisors (see below), whose sum is σ = 457915692. Its totient is φ = 140897088.

The previous prime is 264182047. The next prime is 264182089. The reversal of 264182085 is 580281462.

264182085 is a `hidden beast` number, since 2 + 641 + 8 + 2 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68657796 + 195524289 = 8286^2 + 13983^2 .

It is not a de Polignac number, because 264182085 - 26 = 264182021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264182089) 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 11 ways as a sum of consecutive naturals, for example, 2935312 + ... + 2935401.

It is an arithmetic number, because the mean of its divisors is an integer number (38159641).

Almost surely, 2264182085 is an apocalyptic number.

It is an amenable number.

264182085 is a deficient number, since it is larger than the sum of its proper divisors (193733607).

264182085 is a wasteful number, since it uses less digits than its factorization.

264182085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870724 (or 5870721 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 264182085 is about 16253.6791219711. The cubic root of 264182085 is about 641.6543179348.

The spelling of 264182085 in words is "two hundred sixty-four million, one hundred eighty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 45 5870713 17612139 29353565 52836417 88060695 264182085