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460851012 = 223313731147
BaseRepresentation
bin11011011110000…
…000011101000100
31012010011122202000
4123132000131010
51420434213022
6113421345300
714264111646
oct3336003504
91163148660
10460851012
11217158206
1210a408230
1374628a0b
14452c4896
152a6d36ac
hex1b780744

460851012 has 48 divisors (see below), whose sum is σ = 1203558720. Its totient is φ = 152490816.

The previous prime is 460850963. The next prime is 460851037. The reversal of 460851012 is 210158064.

460851012 is a `hidden beast` number, since 4 + 608 + 51 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×4608510122 = 424767310522848288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778 + ... + 30369.

It is an arithmetic number, because the mean of its divisors is an integer number (25074140).

Almost surely, 2460851012 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 460851012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601779360).

460851012 is an abundant number, since it is smaller than the sum of its proper divisors (742707708).

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

460851012 is a wasteful number, since it uses less digits than its factorization.

460851012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31297 (or 31289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 460851012 is about 21467.4407417372. The cubic root of 460851012 is about 772.4200086840.

The spelling of 460851012 in words is "four hundred sixty million, eight hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3699 4932 7398 14796 31147 62294 93441 124588 186882 280323 373764 560646 840969 1121292 1681938 3363876 4267139 8534278 12801417 17068556 25602834 38404251 51205668 76808502 115212753 153617004 230425506 460851012