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252690984 = 233271338567
BaseRepresentation
bin11110000111111…
…00001000101000
3122121111000212100
433003330020220
51004142102414
641024013400
76155560260
oct1703741050
9577430770
10252690984
1111a701527
1270761260
13404754c0
14257ba7a0
15172b6609
hexf0fc228

252690984 has 96 divisors (see below), whose sum is σ = 842325120. Its totient is φ = 66642048.

The previous prime is 252690979. The next prime is 252690989. The reversal of 252690984 is 489096252.

It is an interprime number because it is at equal distance from previous prime (252690979) and next prime (252690989).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252690989) 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 23 ways as a sum of consecutive naturals, for example, 12732 + ... + 25835.

It is an arithmetic number, because the mean of its divisors is an integer number (8774220).

Almost surely, 2252690984 is an apocalyptic number.

252690984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252690984 is an abundant number, since it is smaller than the sum of its proper divisors (589634136).

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

252690984 is a wasteful number, since it uses less digits than its factorization.

252690984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38599 (or 38592 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 252690984 is about 15896.2569179037. The cubic root of 252690984 is about 632.2127481691.

The spelling of 252690984 in words is "two hundred fifty-two million, six hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 38567 77134 115701 154268 231402 269969 308536 347103 462804 501371 539938 694206 809907 925608 1002742 1079876 1388412 1504113 1619814 2005484 2159752 2429721 2776824 3008226 3239628 3509597 4010968 4512339 4859442 6016452 6479256 7019194 9024678 9718884 10528791 12032904 14038388 18049356 19437768 21057582 28076776 31586373 36098712 42115164 63172746 84230328 126345492 252690984