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460114872 = 23372738779
BaseRepresentation
bin11011011011001…
…100101110111000
31012001210020221120
4123123030232320
51420242133442
6113353505240
714254624530
oct3333145670
91161706846
10460114872
112167a5128
1210a112220
137442b929
14451724c0
152a5da4ec
hex1b6ccbb8

460114872 has 32 divisors (see below), whose sum is σ = 1314614400. Its totient is φ = 131461344.

The previous prime is 460114871. The next prime is 460114909. The reversal of 460114872 is 278411064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460114871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1369222 + ... + 1369557.

It is an arithmetic number, because the mean of its divisors is an integer number (41081700).

Almost surely, 2460114872 is an apocalyptic number.

460114872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

460114872 is an abundant number, since it is smaller than the sum of its proper divisors (854499528).

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

460114872 is a wasteful number, since it uses less digits than its factorization.

460114872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738795 (or 2738791 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 460114872 is about 21450.2883896697. The cubic root of 460114872 is about 772.0085146761.

The spelling of 460114872 in words is "four hundred sixty million, one hundred fourteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2738779 5477558 8216337 10955116 16432674 19171453 21910232 32865348 38342906 57514359 65730696 76685812 115028718 153371624 230057436 460114872