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460499968 = 2101273541
BaseRepresentation
bin11011011100101…
…010110000000000
31012002111211012101
4123130222300000
51420341444333
6113410040144
714261120335
oct3334526000
91162454171
10460499968
11216a38495
1210a279054
1374534cb6
144523298c
152a66467d
hex1b72ac00

460499968 has 44 divisors (see below), whose sum is σ = 928060672. Its totient is φ = 228372480.

The previous prime is 460499933. The next prime is 460499983. The reversal of 460499968 is 869994064.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128278 + ... + 131818.

It is an arithmetic number, because the mean of its divisors is an integer number (21092288).

Almost surely, 2460499968 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 460499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464030336).

460499968 is an abundant number, since it is smaller than the sum of its proper divisors (467560704).

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

460499968 is a wasteful number, since it uses less digits than its factorization.

460499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The square root of 460499968 is about 21459.2629882762. The cubic root of 460499968 is about 772.2238337235.

The spelling of 460499968 in words is "four hundred sixty million, four hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 3541 4064 7082 8128 14164 16256 28328 32512 56656 65024 113312 130048 226624 449707 453248 899414 906496 1798828 1812992 3597656 3625984 7195312 14390624 28781248 57562496 115124992 230249984 460499968