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460406112 = 2534795897
BaseRepresentation
bin11011011100010…
…011110101100000
31012002100001110020
4123130103311200
51420330443422
6113404033440
714260246605
oct3334236540
91162301406
10460406112
11216983a21
1210a232880
137450136a
144520a6ac
152a64695c
hex1b713d60

460406112 has 24 divisors (see below), whose sum is σ = 1208566296. Its totient is φ = 153468672.

The previous prime is 460406099. The next prime is 460406113. The reversal of 460406112 is 211604064.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460406113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2397853 + ... + 2398044.

It is an arithmetic number, because the mean of its divisors is an integer number (50356929).

Almost surely, 2460406112 is an apocalyptic number.

It is an amenable number.

460406112 is an abundant number, since it is smaller than the sum of its proper divisors (748160184).

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

460406112 is a wasteful number, since it uses less digits than its factorization.

460406112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795910 (or 4795902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 460406112 is about 21457.0760356578. The cubic root of 460406112 is about 772.1713670064.

The spelling of 460406112 in words is "four hundred sixty million, four hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4795897 9591794 14387691 19183588 28775382 38367176 57550764 76734352 115101528 153468704 230203056 460406112