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189288329 is a prime number
BaseRepresentation
bin10110100100001…
…00111110001001
3111012011211202212
423102010332021
5341424211304
630441034505
74455632006
oct1322047611
9435154685
10189288329
119793713a
1253485a35
13302a6839
141b1d48ad
151194066e
hexb484f89

189288329 has 2 divisors, whose sum is σ = 189288330. Its totient is φ = 189288328.

The previous prime is 189288301. The next prime is 189288331. The reversal of 189288329 is 923882981.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103225600 + 86062729 = 10160^2 + 9277^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-189288329 is a prime.

It is a super-2 number, since 2×1892883292 = 71660142991224482, which contains 22 as substring.

Together with 189288331, 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 (189218329) 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, 94644164 + 94644165.

It is an arithmetic number, because the mean of its divisors is an integer number (94644165).

Almost surely, 2189288329 is an apocalyptic number.

It is an amenable number.

189288329 is a deficient number, since it is larger than the sum of its proper divisors (1).

189288329 is an equidigital number, since it uses as much as digits as its factorization.

189288329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 497664, while the sum is 50.

The square root of 189288329 is about 13758.2095128690. The cubic root of 189288329 is about 574.1710338255.

The spelling of 189288329 in words is "one hundred eighty-nine million, two hundred eighty-eight thousand, three hundred twenty-nine".