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460975873 is a prime number
BaseRepresentation
bin11011011110011…
…110111100000001
31012010102000000111
4123132132330001
51421002211443
6113424151321
714265141661
oct3336367401
91163360014
10460975873
11217232aa6
1210a468541
13746707b7
14453181a1
152a70a69d
hex1b79ef01

460975873 has 2 divisors, whose sum is σ = 460975874. Its totient is φ = 460975872.

The previous prime is 460975871. The next prime is 460975877. The reversal of 460975873 is 378579064.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 280127169 + 180848704 = 16737^2 + 13448^2 .

It is a cyclic number.

It is not a de Polignac number, because 460975873 - 21 = 460975871 is a prime.

It is a super-2 number, since 2×4609758732 = 424997510976224258, which contains 22 as substring.

Together with 460975871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (460975871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230487936 + 230487937.

It is an arithmetic number, because the mean of its divisors is an integer number (230487937).

Almost surely, 2460975873 is an apocalyptic number.

It is an amenable number.

460975873 is a deficient number, since it is larger than the sum of its proper divisors (1).

460975873 is an equidigital number, since it uses as much as digits as its factorization.

460975873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The square root of 460975873 is about 21470.3486930231. The cubic root of 460975873 is about 772.4897611082.

The spelling of 460975873 in words is "four hundred sixty million, nine hundred seventy-five thousand, eight hundred seventy-three".