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289601309 is a prime number
BaseRepresentation
bin10001010000101…
…111011100011101
3202011221021022102
4101100233130131
51043114220214
644423054445
710114366454
oct2120573435
9664837272
10289601309
11139521828
1280ba1425
1347cc992a
142a667b9b
151a657bde
hex1142f71d

289601309 has 2 divisors, whose sum is σ = 289601310. Its totient is φ = 289601308.

The previous prime is 289601297. The next prime is 289601321. The reversal of 289601309 is 903106982.

It is a balanced prime because it is at equal distance from previous prime (289601297) and next prime (289601321).

It can be written as a sum of positive squares in only one way, i.e., 219928900 + 69672409 = 14830^2 + 8347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289601309 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289601329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144800654 + 144800655.

It is an arithmetic number, because the mean of its divisors is an integer number (144800655).

Almost surely, 2289601309 is an apocalyptic number.

It is an amenable number.

289601309 is a deficient number, since it is larger than the sum of its proper divisors (1).

289601309 is an equidigital number, since it uses as much as digits as its factorization.

289601309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 289601309 is about 17017.6763689994. The cubic root of 289601309 is about 661.6071248892.

The spelling of 289601309 in words is "two hundred eighty-nine million, six hundred one thousand, three hundred nine".