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252164920 = 2357900589
BaseRepresentation
bin11110000011110…
…11101100111000
3122120111022020111
433001323230320
51004023234140
641004434104
76151236460
oct1701735470
9576438214
10252164920
1111a382267
1270548934
134031cc17
14256c0ba0
15172107ea
hexf07bb38

252164920 has 32 divisors (see below), whose sum is σ = 648424800. Its totient is φ = 86456448.

The previous prime is 252164897. The next prime is 252164921. The reversal of 252164920 is 29461252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252164921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450015 + ... + 450574.

It is an arithmetic number, because the mean of its divisors is an integer number (20263275).

Almost surely, 2252164920 is an apocalyptic number.

252164920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252164920 is an abundant number, since it is smaller than the sum of its proper divisors (396259880).

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

252164920 is a wasteful number, since it uses less digits than its factorization.

252164920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900607 (or 900603 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 252164920 is about 15879.7015085297. The cubic root of 252164920 is about 631.7737199328.

The spelling of 252164920 in words is "two hundred fifty-two million, one hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 900589 1801178 3602356 4502945 6304123 7204712 9005890 12608246 18011780 25216492 31520615 36023560 50432984 63041230 126082460 252164920