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289978441 is a prime number
BaseRepresentation
bin10001010010001…
…011100001001001
3202012122102122021
4101102023201021
51043213302231
644435124441
710120530124
oct2122134111
9665572567
10289978441
1113975a105
1281143721
13480cc49c
142a7253bb
151a6ce811
hex1148b849

289978441 has 2 divisors, whose sum is σ = 289978442. Its totient is φ = 289978440.

The previous prime is 289978421. The next prime is 289978459. The reversal of 289978441 is 144879982.

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., 201072400 + 88906041 = 14180^2 + 9429^2 .

It is a cyclic number.

It is not a de Polignac number, because 289978441 - 27 = 289978313 is a prime.

It is not a weakly prime, because it can be changed into another prime (289978421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144989220 + 144989221.

It is an arithmetic number, because the mean of its divisors is an integer number (144989221).

Almost surely, 2289978441 is an apocalyptic number.

It is an amenable number.

289978441 is a deficient number, since it is larger than the sum of its proper divisors (1).

289978441 is an equidigital number, since it uses as much as digits as its factorization.

289978441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1161216, while the sum is 52.

The square root of 289978441 is about 17028.7533601259. The cubic root of 289978441 is about 661.8941919473.

The spelling of 289978441 in words is "two hundred eighty-nine million, nine hundred seventy-eight thousand, four hundred forty-one".