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56904525 = 3552171929
BaseRepresentation
bin1101100100010…
…0101101001101
310222002001100000
43121010231031
5104031421100
65351354513
71260452256
oct331045515
9128061300
1056904525
112a137237
1217082a39
13ba35022
1477b3b2d
154ee0900
hex3644b4d

56904525 has 144 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 26127360.

The previous prime is 56904503. The next prime is 56904539. The reversal of 56904525 is 52540965.

56904525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56904525 - 219 = 56380237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56904525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1962211 + ... + 1962239.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 256904525 is an apocalyptic number.

It is an amenable number.

56904525 is an abundant number, since it is smaller than the sum of its proper divisors (64962675).

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

56904525 is a wasteful number, since it uses less digits than its factorization.

56904525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 56904525 is about 7543.5087989609. The cubic root of 56904525 is about 384.6351183977.

The spelling of 56904525 in words is "fifty-six million, nine hundred four thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 27 29 45 51 57 75 81 85 87 95 135 145 153 171 225 243 255 261 285 323 405 425 435 459 475 493 513 551 675 725 765 783 855 969 1215 1275 1305 1377 1425 1479 1539 1615 1653 2025 2175 2295 2349 2465 2565 2755 2907 3825 3915 4131 4275 4437 4617 4845 4959 6075 6525 6885 7047 7395 7695 8075 8265 8721 9367 11475 11745 12325 12825 13311 13775 14535 14877 19575 20655 22185 23085 24225 24795 26163 28101 34425 35235 36975 38475 39933 41325 43605 44631 46835 58725 66555 72675 74385 78489 84303 103275 110925 115425 119799 123975 130815 133893 140505 176175 199665 218025 223155 234175 252909 332775 371925 392445 421515 598995 654075 669465 702525 758727 998325 1115775 1264545 1962225 2107575 2276181 2994975 3347325 3793635 6322725 11380905 18968175 56904525