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252530250 = 23537103467
BaseRepresentation
bin11110000110101…
…00111001001010
3122121011212101020
433003110321022
51004121432000
641020333310
76154320540
oct1703247112
9577155336
10252530250
1111a601795
12706a4236
134041a2ab
1425777d90
1517283ba0
hexf0d4e4a

252530250 has 128 divisors (see below), whose sum is σ = 728911872. Its totient is φ = 57038400.

The previous prime is 252530221. The next prime is 252530251. The reversal of 252530250 is 52035252.

252530250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252530250.

It is not an unprimeable number, because it can be changed into a prime (252530251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 540517 + ... + 540983.

It is an arithmetic number, because the mean of its divisors is an integer number (5694624).

Almost surely, 2252530250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252530250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364455936).

252530250 is an abundant number, since it is smaller than the sum of its proper divisors (476381622).

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

252530250 is a wasteful number, since it uses less digits than its factorization.

252530250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 252530250 is about 15891.2003951873. The cubic root of 252530250 is about 632.0786718414.

The spelling of 252530250 in words is "two hundred fifty-two million, five hundred thirty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 103 105 125 150 175 206 210 250 309 350 375 467 515 525 618 721 750 875 934 1030 1050 1401 1442 1545 1750 2163 2335 2575 2625 2802 3090 3269 3605 4326 4670 5150 5250 6538 7005 7210 7725 9807 10815 11675 12875 14010 15450 16345 18025 19614 21630 23350 25750 32690 35025 36050 38625 48101 49035 54075 58375 70050 77250 81725 90125 96202 98070 108150 116750 144303 163450 175125 180250 240505 245175 270375 288606 336707 350250 408625 481010 490350 540750 673414 721515 817250 1010121 1202525 1225875 1443030 1683535 2020242 2405050 2451750 3367070 3607575 5050605 6012625 7215150 8417675 10101210 12025250 16835350 18037875 25253025 36075750 42088375 50506050 84176750 126265125 252530250