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252883960 = 23573792383
BaseRepresentation
bin11110001001010…
…11001111111000
3122121211211120121
433010223033320
51004214241320
641032103024
76160323010
oct1704531770
9577754517
10252883960
1111a82350a
1270834a74
13405122a4
142582ac40
15173038aa
hexf12b3f8

252883960 has 64 divisors (see below), whose sum is σ = 652262400. Its totient is φ = 86438016.

The previous prime is 252883933. The next prime is 252883991. The reversal of 252883960 is 69388252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104929 + ... + 107311.

It is an arithmetic number, because the mean of its divisors is an integer number (10191600).

Almost surely, 2252883960 is an apocalyptic number.

252883960 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 252883960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326131200).

252883960 is an abundant number, since it is smaller than the sum of its proper divisors (399378440).

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

252883960 is a wasteful number, since it uses less digits than its factorization.

252883960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 252883960 is about 15902.3256160852. The cubic root of 252883960 is about 632.3736440870.

The spelling of 252883960 in words is "two hundred fifty-two million, eight hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 379 758 1516 1895 2383 2653 3032 3790 4766 5306 7580 9532 10612 11915 13265 15160 16681 19064 21224 23830 26530 33362 47660 53060 66724 83405 95320 106120 133448 166810 333620 667240 903157 1806314 3612628 4515785 6322099 7225256 9031570 12644198 18063140 25288396 31610495 36126280 50576792 63220990 126441980 252883960