Search a number
-
+
289617109 is a prime number
BaseRepresentation
bin10001010000110…
…011010011010101
3202011222001222121
4101100303103111
51043120221414
644423255541
710114463515
oct2120632325
9664861877
10289617109
11139532691
1280baa5b1
1348003b92
142a66d845
151a65c724
hex114334d5

289617109 has 2 divisors, whose sum is σ = 289617110. Its totient is φ = 289617108.

The previous prime is 289617077. The next prime is 289617121. The reversal of 289617109 is 901716982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159314884 + 130302225 = 12622^2 + 11415^2 .

It is a cyclic number.

It is not a de Polignac number, because 289617109 - 25 = 289617077 is a prime.

It is equal to p15719893 and since 289617109 and 15719893 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289617509) 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, 144808554 + 144808555.

It is an arithmetic number, because the mean of its divisors is an integer number (144808555).

Almost surely, 2289617109 is an apocalyptic number.

It is an amenable number.

289617109 is a deficient number, since it is larger than the sum of its proper divisors (1).

289617109 is an equidigital number, since it uses as much as digits as its factorization.

289617109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 289617109 is about 17018.1405858572. The cubic root of 289617109 is about 661.6191566056.

The spelling of 289617109 in words is "two hundred eighty-nine million, six hundred seventeen thousand, one hundred nine".