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289106953 is a prime number
BaseRepresentation
bin10001001110110…
…110110000001001
3202011000011011221
4101032312300021
51043002410303
644404322041
710110240262
oct2116666011
9664004157
10289106953
11139214373
12809a3321
1347b85905
142a579969
151a5ab4bd
hex113b6c09

289106953 has 2 divisors, whose sum is σ = 289106954. Its totient is φ = 289106952.

The previous prime is 289106933. The next prime is 289106957. The reversal of 289106953 is 359601982.

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., 273803209 + 15303744 = 16547^2 + 3912^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289106953 is a prime.

It is not a weakly prime, because it can be changed into another prime (289106957) 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, 144553476 + 144553477.

It is an arithmetic number, because the mean of its divisors is an integer number (144553477).

Almost surely, 2289106953 is an apocalyptic number.

It is an amenable number.

289106953 is a deficient number, since it is larger than the sum of its proper divisors (1).

289106953 is an equidigital number, since it uses as much as digits as its factorization.

289106953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 289106953 is about 17003.1453854868. The cubic root of 289106953 is about 661.2304510237.

The spelling of 289106953 in words is "two hundred eighty-nine million, one hundred six thousand, nine hundred fifty-three".