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289824253 is a prime number
BaseRepresentation
bin10001010001100…
…101110111111101
3202012100121010121
4101101211313331
51043143334003
644431534541
710116315445
oct2121456775
9665317117
10289824253
11139664284
128108a451
1348077254
142a6c5125
151a69dcbd
hex11465dfd

289824253 has 2 divisors, whose sum is σ = 289824254. Its totient is φ = 289824252.

The previous prime is 289824251. The next prime is 289824277. The reversal of 289824253 is 352428982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175377049 + 114447204 = 13243^2 + 10698^2 .

It is a cyclic number.

It is not a de Polignac number, because 289824253 - 21 = 289824251 is a prime.

Together with 289824251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289824251) 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, 144912126 + 144912127.

It is an arithmetic number, because the mean of its divisors is an integer number (144912127).

Almost surely, 2289824253 is an apocalyptic number.

It is an amenable number.

289824253 is a deficient number, since it is larger than the sum of its proper divisors (1).

289824253 is an equidigital number, since it uses as much as digits as its factorization.

289824253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 276480, while the sum is 43.

The square root of 289824253 is about 17024.2254743057. The cubic root of 289824253 is about 661.7768565169.

The spelling of 289824253 in words is "two hundred eighty-nine million, eight hundred twenty-four thousand, two hundred fifty-three".