Search a number
-
+
493968617 is a prime number
BaseRepresentation
bin11101011100010…
…101110011101001
31021102111012112222
4131130111303221
52002423443432
6121003243425
715145443512
oct3534256351
91242435488
10493968617
11233917a2a
12119519575
137b452a2c
1449865a09
152d576112
hex1d715ce9

493968617 has 2 divisors, whose sum is σ = 493968618. Its totient is φ = 493968616.

The previous prime is 493968613. The next prime is 493968641. The reversal of 493968617 is 716869394.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 357172201 + 136796416 = 18899^2 + 11696^2 .

It is a cyclic number.

It is not a de Polignac number, because 493968617 - 22 = 493968613 is a prime.

It is a super-3 number, since 3×4939686173 (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (493968613) 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, 246984308 + 246984309.

It is an arithmetic number, because the mean of its divisors is an integer number (246984309).

Almost surely, 2493968617 is an apocalyptic number.

It is an amenable number.

493968617 is a deficient number, since it is larger than the sum of its proper divisors (1).

493968617 is an equidigital number, since it uses as much as digits as its factorization.

493968617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1959552, while the sum is 53.

The square root of 493968617 is about 22225.4047657180. The cubic root of 493968617 is about 790.4961989809.

The spelling of 493968617 in words is "four hundred ninety-three million, nine hundred sixty-eight thousand, six hundred seventeen".