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460642272 = 2534798357
BaseRepresentation
bin11011011101001…
…101011111100000
31012002210001101220
4123131031133200
51420411023042
6113413055040
714262252246
oct3335153740
91162701356
10460642272
112170253a2
1210a327480
13745849bc
144526c796
152a6918ec
hex1b74d7e0

460642272 has 24 divisors (see below), whose sum is σ = 1209186216. Its totient is φ = 153547392.

The previous prime is 460642241. The next prime is 460642297. The reversal of 460642272 is 272246064.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2399083 + ... + 2399274.

It is an arithmetic number, because the mean of its divisors is an integer number (50382759).

Almost surely, 2460642272 is an apocalyptic number.

It is an amenable number.

460642272 is an abundant number, since it is smaller than the sum of its proper divisors (748543944).

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

460642272 is a wasteful number, since it uses less digits than its factorization.

460642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798370 (or 4798362 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 460642272 is about 21462.5784098742. The cubic root of 460642272 is about 772.3033699020.

The spelling of 460642272 in words is "four hundred sixty million, six hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4798357 9596714 14395071 19193428 28790142 38386856 57580284 76773712 115160568 153547424 230321136 460642272