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460428468 = 223714391231
BaseRepresentation
bin11011011100011…
…001010010110100
31012002101012010020
4123130121102310
51420332202333
6113404325140
714260402023
oct3334312264
91162335106
10460428468
112169997a5
1210a2437b0
137450b5a6
14452148ba
152a64d3b3
hex1b7194b4

460428468 has 48 divisors (see below), whose sum is σ = 1092833280. Its totient is φ = 150847200.

The previous prime is 460428457. The next prime is 460428487. The reversal of 460428468 is 864824064.

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, 373413 + ... + 374643.

It is an arithmetic number, because the mean of its divisors is an integer number (22767360).

Almost surely, 2460428468 is an apocalyptic number.

It is an amenable number.

460428468 is an abundant number, since it is smaller than the sum of its proper divisors (632404812).

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

460428468 is a wasteful number, since it uses less digits than its factorization.

460428468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 460428468 is about 21457.5969763625. The cubic root of 460428468 is about 772.1838649462.

The spelling of 460428468 in words is "four hundred sixty million, four hundred twenty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 439 852 878 1231 1317 1756 2462 2634 3693 4924 5268 7386 14772 31169 62338 87401 93507 124676 174802 187014 262203 349604 374028 524406 540409 1048812 1080818 1621227 2161636 3242454 6484908 38369039 76738078 115107117 153476156 230214234 460428468