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5083585 = 513197397
BaseRepresentation
bin10011011001000111000001
3100120021100221
4103121013001
52300133320
6300543041
761131643
oct23310701
910507327
105083585
112962411
121851a81
13108cb50
14964893
156a63aa
hex4d91c1

5083585 has 16 divisors (see below), whose sum is σ = 6619536. Its totient is φ = 3725568.

The previous prime is 5083579. The next prime is 5083619. The reversal of 5083585 is 5853805.

It can be written as a sum of positive squares in 8 ways, for example, as 101761 + 4981824 = 319^2 + 2232^2 .

It is a cyclic number.

It is not a de Polignac number, because 5083585 - 215 = 5050817 is a prime.

It is a Duffinian number.

5083585 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5083585.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12607 + ... + 13003.

It is an arithmetic number, because the mean of its divisors is an integer number (413721).

Almost surely, 25083585 is an apocalyptic number.

It is an amenable number.

5083585 is a deficient number, since it is larger than the sum of its proper divisors (1535951).

5083585 is a wasteful number, since it uses less digits than its factorization.

5083585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 5083585 is about 2254.6806869266. The cubic root of 5083585 is about 171.9451894041.

The spelling of 5083585 in words is "five million, eighty-three thousand, five hundred eighty-five".

Divisors: 1 5 13 65 197 397 985 1985 2561 5161 12805 25805 78209 391045 1016717 5083585