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252355560 = 233513071609
BaseRepresentation
bin11110000101010…
…10001111101000
3122120211222202020
433002222033220
51004100334220
641012504440
76152662332
oct1702521750
9576758666
10252355560
1111a4a2516
127061b120
1340388922
1425730452
151724c040
hexf0aa3e8

252355560 has 64 divisors (see below), whose sum is σ = 758116800. Its totient is φ = 67201536.

The previous prime is 252355547. The next prime is 252355561. The reversal of 252355560 is 65553252.

252355560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252355561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156036 + ... + 157644.

It is an arithmetic number, because the mean of its divisors is an integer number (11845575).

Almost surely, 2252355560 is an apocalyptic number.

252355560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252355560 is an abundant number, since it is smaller than the sum of its proper divisors (505761240).

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

252355560 is a wasteful number, since it uses less digits than its factorization.

252355560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The square root of 252355560 is about 15885.7030061625. The cubic root of 252355560 is about 631.9328895786.

The spelling of 252355560 in words is "two hundred fifty-two million, three hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1307 1609 2614 3218 3921 4827 5228 6436 6535 7842 8045 9654 10456 12872 13070 15684 16090 19308 19605 24135 26140 31368 32180 38616 39210 48270 52280 64360 78420 96540 156840 193080 2102963 4205926 6308889 8411852 10514815 12617778 16823704 21029630 25235556 31544445 42059260 50471112 63088890 84118520 126177780 252355560