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460561249 is a prime number
BaseRepresentation
bin11011011100111…
…001101101100001
31012002121221021001
4123130321231201
51420400424444
6113411232001
714261464111
oct3334715541
91162557231
10460561249
11216a7a535
1210a2a8601
1374556b65
144524b041
152a6778d4
hex1b739b61

460561249 has 2 divisors, whose sum is σ = 460561250. Its totient is φ = 460561248.

The previous prime is 460561201. The next prime is 460561253. The reversal of 460561249 is 942165064.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326163600 + 134397649 = 18060^2 + 11593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-460561249 is a prime.

It is not a weakly prime, because it can be changed into another prime (460561259) 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, 230280624 + 230280625.

It is an arithmetic number, because the mean of its divisors is an integer number (230280625).

Almost surely, 2460561249 is an apocalyptic number.

It is an amenable number.

460561249 is a deficient number, since it is larger than the sum of its proper divisors (1).

460561249 is an equidigital number, since it uses as much as digits as its factorization.

460561249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 460561249 is about 21460.6907857133. The cubic root of 460561249 is about 772.2580867478.

The spelling of 460561249 in words is "four hundred sixty million, five hundred sixty-one thousand, two hundred forty-nine".