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585085007 = 13313714347
BaseRepresentation
bin100010110111111…
…011000001001111
31111202221101202002
4202313323001033
52144240210012
6134020222515
720333066123
oct4267730117
91452841662
10585085007
112802a1031
12143b3aa3b
13942a5b60
14579c3583
15365737c2
hex22dfb04f

585085007 has 8 divisors (see below), whose sum is σ = 630336336. Its totient is φ = 539868672.

The previous prime is 585085003. The next prime is 585085013. The reversal of 585085007 is 700580585.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 585085007 - 22 = 585085003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585085003) 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 7 ways as a sum of consecutive naturals, for example, 33608 + ... + 47954.

It is an arithmetic number, because the mean of its divisors is an integer number (78792042).

Almost surely, 2585085007 is an apocalyptic number.

585085007 is a deficient number, since it is larger than the sum of its proper divisors (45251329).

585085007 is a wasteful number, since it uses less digits than its factorization.

585085007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17497.

The product of its (nonzero) digits is 56000, while the sum is 38.

The square root of 585085007 is about 24188.5304845086. The cubic root of 585085007 is about 836.3851688322.

The spelling of 585085007 in words is "five hundred eighty-five million, eighty-five thousand, seven".

Divisors: 1 13 3137 14347 40781 186511 45006539 585085007