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252012264 = 23371500073
BaseRepresentation
bin11110000010101…
…10011011101000
3122120012112211120
433001112123220
51004003343024
641001255240
76150032430
oct1701263350
9576175746
10252012264
1111a2885a9
1270494520
13402985aa
14256812c0
15171d0479
hexf0566e8

252012264 has 32 divisors (see below), whose sum is σ = 720035520. Its totient is φ = 72003456.

The previous prime is 252012223. The next prime is 252012317. The reversal of 252012264 is 462210252.

It is a happy number.

252012264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749869 + ... + 750204.

It is an arithmetic number, because the mean of its divisors is an integer number (22501110).

Almost surely, 2252012264 is an apocalyptic number.

252012264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252012264 is an abundant number, since it is smaller than the sum of its proper divisors (468023256).

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

252012264 is a wasteful number, since it uses less digits than its factorization.

252012264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500089 (or 1500085 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 252012264 is about 15874.8941413793. The cubic root of 252012264 is about 631.6462061383.

The spelling of 252012264 in words is "two hundred fifty-two million, twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1500073 3000146 4500219 6000292 9000438 10500511 12000584 18000876 21001022 31501533 36001752 42002044 63003066 84004088 126006132 252012264