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252446820 = 223510340849
BaseRepresentation
bin11110000110000…
…00100001100100
3122121000121221020
433003000201210
51004111244240
641014451140
76153522363
oct1703004144
9577017836
10252446820
1111a55503a
1270663ab0
13403bb322
14257557da
15172690d0
hexf0c0864

252446820 has 48 divisors (see below), whose sum is σ = 713731200. Its totient is φ = 66663936.

The previous prime is 252446797. The next prime is 252446833. The reversal of 252446820 is 28644252.

It is a super-2 number, since 2×2524468202 = 127458793856224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14245 + ... + 26604.

It is an arithmetic number, because the mean of its divisors is an integer number (14869400).

Almost surely, 2252446820 is an apocalyptic number.

252446820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252446820 is an abundant number, since it is smaller than the sum of its proper divisors (461284380).

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

252446820 is a wasteful number, since it uses less digits than its factorization.

252446820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40964 (or 40962 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 252446820 is about 15888.5751406474. The cubic root of 252446820 is about 632.0090562447.

The spelling of 252446820 in words is "two hundred fifty-two million, four hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 40849 81698 122547 163396 204245 245094 408490 490188 612735 816980 1225470 2450940 4207447 8414894 12622341 16829788 21037235 25244682 42074470 50489364 63111705 84148940 126223410 252446820