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252153168 = 24320692539
BaseRepresentation
bin11110000011110…
…00110101010000
3122120110201010020
433001320311100
51004022400133
641004303440
76151160301
oct1701706520
9576421106
10252153168
1111a374453
1270541b80
1340317777
14256ba7a8
151720c0b3
hexf078d50

252153168 has 40 divisors (see below), whose sum is σ = 651967200. Its totient is φ = 83977344.

The previous prime is 252153151. The next prime is 252153179. The reversal of 252153168 is 861351252.

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 7 ways as a sum of consecutive naturals, for example, 98043 + ... + 100581.

It is an arithmetic number, because the mean of its divisors is an integer number (16299180).

Almost surely, 2252153168 is an apocalyptic number.

It is an amenable number.

252153168 is an abundant number, since it is smaller than the sum of its proper divisors (399814032).

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

252153168 is a wasteful number, since it uses less digits than its factorization.

252153168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4613 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 252153168 is about 15879.3314720740. The cubic root of 252153168 is about 631.7639052976.

The spelling of 252153168 in words is "two hundred fifty-two million, one hundred fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 2069 2539 4138 5078 6207 7617 8276 10156 12414 15234 16552 20312 24828 30468 33104 40624 49656 60936 99312 121872 5253191 10506382 15759573 21012764 31519146 42025528 63038292 84051056 126076584 252153168