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460211268 = 223113839103
BaseRepresentation
bin11011011011100…
…100010001000100
31012001222011011210
4123123210101010
51420303230033
6113355531420
714255505546
oct3333442104
91161864153
10460211268
112168605a0
1210a159b70
137446377a
1445199696
152a608d63
hex1b6e4444

460211268 has 48 divisors (see below), whose sum is σ = 1174634496. Its totient is φ = 139078560.

The previous prime is 460211251. The next prime is 460211287. The reversal of 460211268 is 862112064.

It is a super-2 number, since 2×4602112682 = 423588822388335648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46005 + ... + 55107.

It is an arithmetic number, because the mean of its divisors is an integer number (24471552).

Almost surely, 2460211268 is an apocalyptic number.

It is an amenable number.

460211268 is an abundant number, since it is smaller than the sum of its proper divisors (714423228).

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

460211268 is a wasteful number, since it uses less digits than its factorization.

460211268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 460211268 is about 21452.5352347922. The cubic root of 460211268 is about 772.0624239213.

The spelling of 460211268 in words is "four hundred sixty million, two hundred eleven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 383 766 1149 1532 2298 4213 4596 8426 9103 12639 16852 18206 25278 27309 36412 50556 54618 100133 109236 200266 300399 400532 600798 1201596 3486449 6972898 10459347 13945796 20918694 38350939 41837388 76701878 115052817 153403756 230105634 460211268