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460675728 = 24331066379
BaseRepresentation
bin11011011101010…
…101101010010000
31012002211202022000
4123131111222100
51420413110403
6113413514000
714262451632
oct3335255220
91162752260
10460675728
11217048547
1210a342900
1374596cb6
144527aa52
152a69b7a3
hex1b755a90

460675728 has 40 divisors (see below), whose sum is σ = 1322311200. Its totient is φ = 153558432.

The previous prime is 460675723. The next prime is 460675739. The reversal of 460675728 is 827576064.

It is not an unprimeable number, because it can be changed into a prime (460675723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532758 + ... + 533621.

It is an arithmetic number, because the mean of its divisors is an integer number (33057780).

Almost surely, 2460675728 is an apocalyptic number.

460675728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

460675728 is an abundant number, since it is smaller than the sum of its proper divisors (861635472).

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

460675728 is a wasteful number, since it uses less digits than its factorization.

460675728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066396 (or 1066384 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 460675728 is about 21463.3577988161. The cubic root of 460675728 is about 772.3220666634.

The spelling of 460675728 in words is "four hundred sixty million, six hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1066379 2132758 3199137 4265516 6398274 8531032 9597411 12796548 17062064 19194822 25593096 28792233 38389644 51186192 57584466 76779288 115168932 153558576 230337864 460675728