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5872905 = 34517853
BaseRepresentation
bin10110011001110100001001
3102001101010000
4112121310021
53000413110
6325513213
7100630113
oct26316411
912041100
105872905
113351445
121b72809
1312a81bc
14acc3b3
157b01c0
hex599d09

5872905 has 40 divisors (see below), whose sum is σ = 11160072. Its totient is φ = 2944512.

The previous prime is 5872903. The next prime is 5872913. The reversal of 5872905 is 5092785.

It can be written as a sum of positive squares in 4 ways, for example, as 227529 + 5645376 = 477^2 + 2376^2 .

It is not a de Polignac number, because 5872905 - 21 = 5872903 is a prime.

It is an alternating number because its digits alternate between odd and even.

5872905 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5872905.

It is not an unprimeable number, because it can be changed into a prime (5872903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6459 + ... + 7311.

Almost surely, 25872905 is an apocalyptic number.

It is an amenable number.

5872905 is a deficient number, since it is larger than the sum of its proper divisors (5287167).

5872905 is a wasteful number, since it uses less digits than its factorization.

5872905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5872905 is about 2423.4077246720. The cubic root of 5872905 is about 180.4198532566.

The spelling of 5872905 in words is "five million, eight hundred seventy-two thousand, nine hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 853 1377 2295 2559 4265 6885 7677 12795 14501 23031 38385 43503 69093 72505 115155 130509 217515 345465 391527 652545 1174581 1957635 5872905