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5900544225 = 36525692
BaseRepresentation
bin1010111111011001…
…10010100011100001
3120020012220201000000
411133230302203201
544041014403400
62413301050213
7266135540562
oct53754624341
916205821000
105900544225
112558781234
1211880b6969
137305b5bb4
143dd920169
1524803e600
hex15fb328e1

5900544225 has 63 divisors (see below), whose sum is σ = 10989307273. Its totient is φ = 3141426240.

The previous prime is 5900544203. The next prime is 5900544239. The reversal of 5900544225 is 5224450095.

The square root of 5900544225 is 76815.

It is a perfect power (a square), and thus also a powerful number.

5900544225 is a `hidden beast` number, since 5 + 90 + 0 + 544 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1402427601 + 4498116624 = 37449^2 + 67068^2 .

It is not a de Polignac number, because 5900544225 - 211 = 5900542177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5900544225.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10369741 + ... + 10370309.

Almost surely, 25900544225 is an apocalyptic number.

5900544225 is the 76815-th square number.

5900544225 is the 38408-th centered octagonal number.

It is an amenable number.

5900544225 is a deficient number, since it is larger than the sum of its proper divisors (5088763048).

5900544225 is an frugal number, since it uses more digits than its factorization.

5900544225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The cubic root of 5900544225 is about 1807.0244268013.

Multiplying 5900544225 by its sum of digits (36), we get a square (212419592100 = 4608902).

The spelling of 5900544225 in words is "five billion, nine hundred million, five hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 569 675 729 1215 1707 2025 2845 3645 5121 6075 8535 14225 15363 18225 25605 42675 46089 76815 128025 138267 230445 323761 384075 414801 691335 971283 1152225 1618805 2074005 2913849 3456675 4856415 8094025 8741547 10370025 14569245 24282075 26224641 43707735 72846225 78673923 131123205 218538675 236021769 393369615 655616025 1180108845 1966848075 5900544225