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289138349 is a prime number
BaseRepresentation
bin10001001110111…
…110011010101101
3202011001202020202
4101032332122231
51043004411344
644405123245
710110430643
oct2116763255
9664052222
10289138349
11139235a15
12809b9525
1347b96ca6
142a587193
151a5b594e
hex113be6ad

289138349 has 2 divisors, whose sum is σ = 289138350. Its totient is φ = 289138348.

The previous prime is 289138337. The next prime is 289138351. The reversal of 289138349 is 943831982.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224850025 + 64288324 = 14995^2 + 8018^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289138349 is a prime.

Together with 289138351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289138309) 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, 144569174 + 144569175.

It is an arithmetic number, because the mean of its divisors is an integer number (144569175).

Almost surely, 2289138349 is an apocalyptic number.

It is an amenable number.

289138349 is a deficient number, since it is larger than the sum of its proper divisors (1).

289138349 is an equidigital number, since it uses as much as digits as its factorization.

289138349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 373248, while the sum is 47.

The square root of 289138349 is about 17004.0686013671. The cubic root of 289138349 is about 661.2543859258.

The spelling of 289138349 in words is "two hundred eighty-nine million, one hundred thirty-eight thousand, three hundred forty-nine".