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5040585 = 3251117599
BaseRepresentation
bin10011001110100111001001
3100111002101100
4103032213021
52242244320
6300012013
760562404
oct23164711
910432340
105040585
112933080
121831009
1310763c4
14952d3b
15698790
hex4ce9c9

5040585 has 48 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 2296320.

The previous prime is 5040583. The next prime is 5040593. The reversal of 5040585 is 5850405.

5040585 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5040585 - 21 = 5040583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5040583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8116 + ... + 8714.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 25040585 is an apocalyptic number.

5040585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5040585 is an abundant number, since it is smaller than the sum of its proper divisors (5068215).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5040585 is a wasteful number, since it uses less digits than its factorization.

5040585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5040585 is about 2245.1247181393. The cubic root of 5040585 is about 171.4590109638.

It can be divided in two parts, 5040 and 585, that added together give a square (5625 = 752).

The spelling of 5040585 in words is "five million, forty thousand, five hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 599 765 935 1683 1797 2805 2995 5391 6589 8415 8985 10183 19767 26955 30549 32945 50915 59301 91647 98835 112013 152745 296505 336039 458235 560065 1008117 1680195 5040585