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252153153 = 3274002431
BaseRepresentation
bin11110000011110…
…00110101000001
3122120110201002200
433001320311001
51004022400103
641004303413
76151160250
oct1701706501
9576421080
10252153153
1111a37443a
1270541b69
1340317765
14256ba797
151720c0a3
hexf078d41

252153153 has 12 divisors (see below), whose sum is σ = 416252928. Its totient is φ = 144087480.

The previous prime is 252153151. The next prime is 252153179. The reversal of 252153153 is 351351252.

It is a happy number.

It is not a de Polignac number, because 252153153 - 21 = 252153151 is a prime.

It is a super-3 number, since 3×2521531533 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (252153151) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2001153 + ... + 2001278.

It is an arithmetic number, because the mean of its divisors is an integer number (34687744).

Almost surely, 2252153153 is an apocalyptic number.

It is an amenable number.

252153153 is a deficient number, since it is larger than the sum of its proper divisors (164099775).

252153153 is a wasteful number, since it uses less digits than its factorization.

252153153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002444 (or 4002441 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 252153153 is about 15879.3309997619. The cubic root of 252153153 is about 631.7638927702.

The spelling of 252153153 in words is "two hundred fifty-two million, one hundred fifty-three thousand, one hundred fifty-three".

Divisors: 1 3 7 9 21 63 4002431 12007293 28017017 36021879 84051051 252153153