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506430652 = 2271323241251
BaseRepresentation
bin11110001011111…
…000010010111100
31022021221100020211
4132023320102330
52014121240102
6122130322204
715356406130
oct3613702274
91267840224
10506430652
1123a959932
12121729364
1380bc7110
144b38b3c0
152e6d87d7
hex1e2f84bc

506430652 has 96 divisors (see below), whose sum is σ = 1147474944. Its totient is φ = 190080000.

The previous prime is 506430643. The next prime is 506430671. The reversal of 506430652 is 256034605.

It is a congruent number.

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, 2017527 + ... + 2017777.

It is an arithmetic number, because the mean of its divisors is an integer number (11952864).

Almost surely, 2506430652 is an apocalyptic number.

506430652 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506430652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573737472).

506430652 is an abundant number, since it is smaller than the sum of its proper divisors (641044292).

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

506430652 is a wasteful number, since it uses less digits than its factorization.

506430652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 506430652 is about 22504.0141308168. The cubic root of 506430652 is about 797.0887163022.

The spelling of 506430652 in words is "five hundred six million, four hundred thirty thousand, six hundred fifty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 241 251 299 322 364 482 502 598 644 964 1004 1196 1687 1757 2093 3133 3263 3374 3514 4186 5543 5773 6266 6526 6748 7028 8372 11086 11546 12532 13052 21931 22172 22841 23092 38801 40411 43862 45682 60491 72059 75049 77602 80822 87724 91364 120982 144118 150098 155204 161644 241964 288236 300196 423437 504413 525343 786383 846874 1008826 1050686 1391293 1572766 1693748 2017652 2101372 2782586 3145532 5504681 5565172 9739051 11009362 18086809 19478102 22018724 36173618 38956204 72347236 126607663 253215326 506430652