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466830264 = 233234120627
BaseRepresentation
bin11011110100110…
…100001110111000
31012112102102201210
4123310310032320
51424002032024
6114153443120
714365664115
oct3364641670
91175372653
10466830264
1121a57153a
121104104a0
1375940434
1445ddd90c
152aeb5129
hex1bd343b8

466830264 has 64 divisors (see below), whose sum is σ = 1247581440. Its totient is φ = 145207040.

The previous prime is 466830257. The next prime is 466830277. The reversal of 466830264 is 462038664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12319 + ... + 32945.

It is an arithmetic number, because the mean of its divisors is an integer number (19493460).

Almost surely, 2466830264 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 466830264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623790720).

466830264 is an abundant number, since it is smaller than the sum of its proper divisors (780751176).

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

466830264 is a wasteful number, since it uses less digits than its factorization.

466830264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20700 (or 20696 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 466830264 is about 21606.2552053798. The cubic root of 466830264 is about 775.7462193126.

The spelling of 466830264 in words is "four hundred sixty-six million, eight hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 552 943 984 1886 2829 3772 5658 7544 11316 20627 22632 41254 61881 82508 123762 165016 247524 474421 495048 845707 948842 1423263 1691414 1897684 2537121 2846526 3382828 3795368 5074242 5693052 6765656 10148484 11386104 19451261 20296968 38902522 58353783 77805044 116707566 155610088 233415132 466830264