Search a number
-
+
252694284 = 2232329131241
BaseRepresentation
bin11110000111111…
…00111100001100
3122121111012101120
433003330330030
51004142204114
641024040540
76155603013
oct1703747414
9577435346
10252694284
1111a703a57
1270763150
1340476b5b
14257bba7a
15172b75a9
hexf0fcf0c

252694284 has 96 divisors (see below), whose sum is σ = 643991040. Its totient is φ = 76876800.

The previous prime is 252694283. The next prime is 252694289. The reversal of 252694284 is 482496252.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (252694283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048404 + ... + 1048644.

It is an arithmetic number, because the mean of its divisors is an integer number (6708240).

Almost surely, 2252694284 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 252694284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321995520).

252694284 is an abundant number, since it is smaller than the sum of its proper divisors (391296756).

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

252694284 is a wasteful number, since it uses less digits than its factorization.

252694284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 252694284 is about 15896.3607155852. The cubic root of 252694284 is about 632.2155002696.

The spelling of 252694284 in words is "two hundred fifty-two million, six hundred ninety-four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 131 138 174 241 262 276 348 393 482 524 667 723 786 964 1334 1446 1572 2001 2668 2892 3013 3799 4002 5543 6026 6989 7598 8004 9039 11086 11397 12052 13978 15196 16629 18078 20967 22172 22794 27956 31571 33258 36156 41934 45588 63142 66516 83868 87377 94713 126284 160747 174754 189426 262131 321494 349508 378852 482241 524262 642988 726133 915559 964482 1048524 1452266 1831118 1928964 2178399 2746677 2904532 3662236 4356798 5493354 8713596 10986708 21057857 42115714 63173571 84231428 126347142 252694284