Search a number
-
+
484125252 = 2231317237937
BaseRepresentation
bin11100110110110…
…010101001000100
31020201222002222220
4130312302221010
51442414002002
6120012252340
714665665612
oct3466625104
91221862886
10484125252
11229304516
121161710b0
13793b7560
14484226b2
152c77e7bc
hex1cdb2a44

484125252 has 96 divisors (see below), whose sum is σ = 1344252672. Its totient is φ = 134086656.

The previous prime is 484125247. The next prime is 484125281. The reversal of 484125252 is 252521484.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57028 + ... + 64964.

It is an arithmetic number, because the mean of its divisors is an integer number (14002632).

Almost surely, 2484125252 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 484125252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672126336).

484125252 is an abundant number, since it is smaller than the sum of its proper divisors (860127420).

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

484125252 is a wasteful number, since it uses less digits than its factorization.

484125252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7997 (or 7995 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 484125252 is about 22002.8464522207. The cubic root of 484125252 is about 785.2101629405.

The spelling of 484125252 in words is "four hundred eighty-four million, one hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 598 663 782 884 897 1173 1196 1326 1564 1794 2346 2652 3588 4692 5083 7937 10166 15249 15874 20332 23811 30498 31748 47622 60996 95244 103181 134929 182551 206362 269858 309543 365102 404787 412724 539716 547653 619086 730204 809574 1095306 1238172 1619148 1754077 2190612 2373163 3103367 3508154 4746326 5262231 6206734 7016308 7119489 9310101 9492652 10524462 12413468 14238978 18620202 21048924 28477956 37240404 40343771 80687542 121031313 161375084 242062626 484125252