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252505330 = 25721179593
BaseRepresentation
bin11110000110011…
…10110011110010
3122121010121012021
433003032303302
51004120132310
641020022054
76154155100
oct1703166362
9577117167
10252505330
1111a594aa0
127069192a
134040bb4c
142576cc70
151727b5da
hexf0cecf2

252505330 has 96 divisors (see below), whose sum is σ = 585066240. Its totient is φ = 77575680.

The previous prime is 252505273. The next prime is 252505333. The reversal of 252505330 is 33505252.

It is a junction number, because it is equal to n+sod(n) for n = 252505295 and 252505304.

It is not an unprimeable number, because it can be changed into a prime (252505333) 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, 425514 + ... + 426106.

It is an arithmetic number, because the mean of its divisors is an integer number (6094440).

Almost surely, 2252505330 is an apocalyptic number.

252505330 is an abundant number, since it is smaller than the sum of its proper divisors (332560910).

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

252505330 is a wasteful number, since it uses less digits than its factorization.

252505330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 252505330 is about 15890.4162941063. The cubic root of 252505330 is about 632.0578797202.

The spelling of 252505330 in words is "two hundred fifty-two million, five hundred five thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 79 98 110 154 158 245 385 395 490 539 553 593 770 790 869 1078 1106 1186 1738 2695 2765 2965 3871 4151 4345 5390 5530 5930 6083 6523 7742 8302 8690 12166 13046 19355 20755 29057 30415 32615 38710 41510 42581 45661 46847 58114 60830 65230 85162 91322 93694 145285 212905 228305 234235 290570 319627 327929 425810 456610 468470 515317 639254 655858 1030634 1598135 1639645 2295503 2576585 3196270 3279290 3607219 4591006 5153170 7214438 11477515 18036095 22955030 25250533 36072190 50501066 126252665 252505330