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252784368 = 2433585149
BaseRepresentation
bin11110001000100…
…10111011110000
3122121122202222000
433010102323300
51004203044433
641030014000
76156426444
oct1704227360
9577582860
10252784368
1111a765701
12707a7300
13404a8b65
1425802824
15172d4113
hexf112ef0

252784368 has 40 divisors (see below), whose sum is σ = 725586000. Its totient is φ = 84261312.

The previous prime is 252784361. The next prime is 252784381. The reversal of 252784368 is 863487252.

252784368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252784361) 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, 292143 + ... + 293006.

It is an arithmetic number, because the mean of its divisors is an integer number (18139650).

Almost surely, 2252784368 is an apocalyptic number.

It is an amenable number.

252784368 is an abundant number, since it is smaller than the sum of its proper divisors (472801632).

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

252784368 is a wasteful number, since it uses less digits than its factorization.

252784368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585166 (or 585154 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 252784368 is about 15899.1939418324. The cubic root of 252784368 is about 632.2906183580.

It can be divided in two parts, 25278 and 4368, that added together give a triangular number (29646 = T243).

The spelling of 252784368 in words is "two hundred fifty-two million, seven hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 585149 1170298 1755447 2340596 3510894 4681192 5266341 7021788 9362384 10532682 14043576 15799023 21065364 28087152 31598046 42130728 63196092 84261456 126392184 252784368