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460112976 = 243223138923
BaseRepresentation
bin11011011011001…
…100010001010000
31012001210011100100
4123123030101100
51420242103401
6113353452400
714254616151
oct3333142120
91161704310
10460112976
112167a3764
1210a111100
137442aacb
1445171928
152a5d9b86
hex1b6cc450

460112976 has 60 divisors (see below), whose sum is σ = 1343672928. Its totient is φ = 146701632.

The previous prime is 460112971. The next prime is 460113013. The reversal of 460112976 is 679211064.

460112976 is a `hidden beast` number, since 460 + 1 + 129 + 76 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 460112976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460112971) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 66150 + ... + 72773.

Almost surely, 2460112976 is an apocalyptic number.

460112976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

460112976 is an abundant number, since it is smaller than the sum of its proper divisors (883559952).

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

460112976 is a wasteful number, since it uses less digits than its factorization.

460112976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138960 (or 138951 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 460112976 is about 21450.2441944142. The cubic root of 460112976 is about 772.0074542668.

The spelling of 460112976 in words is "four hundred sixty million, one hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 138923 277846 416769 555692 833538 1111384 1250307 1667076 2222768 2500614 3195229 3334152 5001228 6390458 6668304 9585687 10002456 12780916 19171374 20004912 25561832 28757061 38342748 51123664 57514122 76685496 115028244 153370992 230056488 460112976