Search a number
-
+
289749617 is a prime number
BaseRepresentation
bin10001010001010…
…011101001110001
3202012012210202022
4101101103221301
51043133441432
644430201225
710115555033
oct2121235161
9665183668
10289749617
111396131a3
1281053215
134804c2a1
142a6a5c53
151a686b12
hex11453a71

289749617 has 2 divisors, whose sum is σ = 289749618. Its totient is φ = 289749616.

The previous prime is 289749533. The next prime is 289749619. The reversal of 289749617 is 716947982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272118016 + 17631601 = 16496^2 + 4199^2 .

It is a cyclic number.

It is not a de Polignac number, because 289749617 - 214 = 289733233 is a prime.

Together with 289749619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (289749619) 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 as a sum of consecutive naturals, namely, 144874808 + 144874809.

It is an arithmetic number, because the mean of its divisors is an integer number (144874809).

Almost surely, 2289749617 is an apocalyptic number.

It is an amenable number.

289749617 is a deficient number, since it is larger than the sum of its proper divisors (1).

289749617 is an equidigital number, since it uses as much as digits as its factorization.

289749617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1524096, while the sum is 53.

The square root of 289749617 is about 17022.0332804280. The cubic root of 289749617 is about 661.7200443656.

The spelling of 289749617 in words is "two hundred eighty-nine million, seven hundred forty-nine thousand, six hundred seventeen".