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252568134 = 232713229409
BaseRepresentation
bin11110000110111…
…10001001000110
3122121020210100100
433003132021012
51004124140014
641021224530
76154536150
oct1703361106
9577223310
10252568134
1111a6281a5
1270702146
1340431600
1425787ad0
1517290009
hexf0de246

252568134 has 144 divisors (see below), whose sum is σ = 702280800. Its totient is φ = 64157184.

The previous prime is 252568123. The next prime is 252568153. The reversal of 252568134 is 431865252.

252568134 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 617322 + ... + 617730.

It is an arithmetic number, because the mean of its divisors is an integer number (4876950).

Almost surely, 2252568134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252568134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351140400).

252568134 is an abundant number, since it is smaller than the sum of its proper divisors (449712666).

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

252568134 is a wasteful number, since it uses less digits than its factorization.

252568134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 463 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 252568134 is about 15892.3923309236. The cubic root of 252568134 is about 632.1102779177.

The spelling of 252568134 in words is "two hundred fifty-two million, five hundred sixty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 39 42 58 63 78 87 91 117 126 169 174 182 203 234 261 273 338 377 406 409 507 522 546 609 754 818 819 1014 1131 1183 1218 1227 1521 1638 1827 2262 2366 2454 2639 2863 3042 3393 3549 3654 3681 4901 5278 5317 5726 6786 7098 7362 7917 8589 9802 10634 10647 11861 14703 15834 15951 17178 21294 23722 23751 25767 29406 31902 34307 35583 37219 44109 47502 47853 51534 68614 69121 71166 74438 83027 88218 95706 102921 106749 111657 138242 154193 166054 205842 207363 213498 223314 249081 308386 308763 334971 414726 462579 483847 498162 617526 622089 669942 747243 925158 967694 1079351 1244178 1387737 1451541 1494486 2004509 2158702 2775474 2903082 3238053 4009018 4354623 6013527 6476106 8709246 9714159 12027054 14031563 18040581 19428318 28063126 36081162 42094689 84189378 126284067 252568134