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52490025 = 345272232
BaseRepresentation
bin1100100000111…
…0111100101001
310122202202210000
43020032330221
5101414140100
65113013213
71205105100
oct310167451
9118682700
1052490025
11276a1595
12156b4209
13ab4a8b3
146d85037
15491c900
hex320ef29

52490025 has 135 divisors (see below), whose sum is σ = 118235271. Its totient is φ = 22952160.

The previous prime is 52489909. The next prime is 52490051. The reversal of 52490025 is 52009425.

The square root of 52490025 is 7245.

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

52490025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18896409 + 33593616 = 4347^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 52490025 - 211 = 52487977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 134 ways as a sum of consecutive naturals, for example, 2282164 + ... + 2282186.

Almost surely, 252490025 is an apocalyptic number.

52490025 is the 7245-th square number.

52490025 is the 3623-rd centered octagonal number.

It is an amenable number.

52490025 is an abundant number, since it is smaller than the sum of its proper divisors (65745246).

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

52490025 is a wasteful number, since it uses less digits than its factorization.

52490025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 52490025 is about 374.4199030963.

Multiplying 52490025 by its product of nonzero digits (3600), we get a square (188964090000 = 4347002).

The spelling of 52490025 in words is "fifty-two million, four hundred ninety thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 27 35 45 49 63 69 75 81 105 115 135 147 161 175 189 207 225 245 315 345 405 441 483 525 529 567 575 621 675 735 805 945 1035 1127 1225 1323 1449 1575 1587 1725 1863 2025 2205 2415 2645 2835 3105 3381 3675 3703 3969 4025 4347 4725 4761 5175 5635 6615 7245 7935 9315 10143 11025 11109 12075 13041 13225 14175 14283 15525 16905 18515 19845 21735 23805 25921 28175 30429 33075 33327 36225 39675 42849 46575 50715 55545 65205 71415 77763 84525 91287 92575 99225 99981 108675 119025 129605 152145 166635 214245 233289 253575 277725 299943 326025 357075 388815 456435 499905 648025 699867 760725 833175 1071225 1166445 1499715 1944075 2099601 2282175 2499525 3499335 5832225 7498575 10498005 17496675 52490025