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252683712 = 263479617
BaseRepresentation
bin11110000111110…
…10010111000000
3122121110122220000
433003322113000
51004141334322
641023520000
76155530131
oct1703722700
9577418800
10252683712
1111a6a7016
1270759000
13404720b8
14257b7c88
15172b43ac
hexf0fa5c0

252683712 has 140 divisors (see below), whose sum is σ = 759744480. Its totient is φ = 83026944.

The previous prime is 252683689. The next prime is 252683729. The reversal of 252683712 is 217386252.

252683712 is a `hidden beast` number, since 25 + 268 + 371 + 2 = 666.

252683712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 409228 + ... + 409844.

Almost surely, 2252683712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252683712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379872240).

252683712 is an abundant number, since it is smaller than the sum of its proper divisors (507060768).

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

252683712 is an equidigital number, since it uses as much as digits as its factorization.

252683712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 701 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 252683712 is about 15896.0281831658. The cubic root of 252683712 is about 632.2066834556.

The spelling of 252683712 in words is "two hundred fifty-two million, six hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 144 158 162 192 216 237 288 316 324 432 474 576 617 632 648 711 864 948 1234 1264 1296 1422 1728 1851 1896 2133 2468 2528 2592 2844 3702 3792 4266 4936 5056 5184 5553 5688 6399 7404 7584 8532 9872 11106 11376 12798 14808 15168 16659 17064 19744 22212 22752 25596 29616 33318 34128 39488 44424 45504 48743 49977 51192 59232 66636 68256 88848 97486 99954 102384 118464 133272 136512 146229 177696 194972 199908 204768 266544 292458 355392 389944 399816 409536 438687 533088 584916 779888 799632 877374 1066176 1169832 1316061 1559776 1599264 1754748 2339664 2632122 3119552 3198528 3509496 3948183 4679328 5264244 7018992 7896366 9358656 10528488 14037984 15792732 21056976 28075968 31585464 42113952 63170928 84227904 126341856 252683712