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252397880 = 2357979293
BaseRepresentation
bin11110000101101…
…00100100111000
3122120221010210122
433002310210320
51004103213010
641013432412
76153226610
oct1702644470
9576833718
10252397880
1111a521299
127063b708
13403a1c77
1425741a40
1517259855
hexf0b4938

252397880 has 64 divisors (see below), whose sum is σ = 655784640. Its totient is φ = 85635072.

The previous prime is 252397813. The next prime is 252397891. The reversal of 252397880 is 88793252.

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 15 ways as a sum of consecutive naturals, for example, 22514 + ... + 31806.

It is an arithmetic number, because the mean of its divisors is an integer number (10246635).

Almost surely, 2252397880 is an apocalyptic number.

252397880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252397880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327892320).

252397880 is an abundant number, since it is smaller than the sum of its proper divisors (403386760).

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

252397880 is a wasteful number, since it uses less digits than its factorization.

252397880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 252397880 is about 15887.0349656567. The cubic root of 252397880 is about 631.9682126297.

The spelling of 252397880 in words is "two hundred fifty-two million, three hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1940 2716 3395 3880 5432 6790 9293 13580 18586 27160 37172 46465 65051 74344 92930 130102 185860 260204 325255 371720 520408 650510 901421 1301020 1802842 2602040 3605684 4507105 6309947 7211368 9014210 12619894 18028420 25239788 31549735 36056840 50479576 63099470 126198940 252397880