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289114381 is a prime number
BaseRepresentation
bin10001001110111…
…000100100001101
3202011000112101001
4101032320210031
51043003130011
644404420301
710110301033
oct2116704415
9664015331
10289114381
11139219a06
12809a7691
1347b890ca
142a57c553
151a5ad7c1
hex113b890d

289114381 has 2 divisors, whose sum is σ = 289114382. Its totient is φ = 289114380.

The previous prime is 289114379. The next prime is 289114387. The reversal of 289114381 is 183411982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150675625 + 138438756 = 12275^2 + 11766^2 .

It is a cyclic number.

It is not a de Polignac number, because 289114381 - 21 = 289114379 is a prime.

It is a super-2 number, since 2×2891143812 = 167174250602026322, which contains 22 as substring.

Together with 289114379, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 289114381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (289114387) 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, 144557190 + 144557191.

It is an arithmetic number, because the mean of its divisors is an integer number (144557191).

Almost surely, 2289114381 is an apocalyptic number.

It is an amenable number.

289114381 is a deficient number, since it is larger than the sum of its proper divisors (1).

289114381 is an equidigital number, since it uses as much as digits as its factorization.

289114381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 37.

The square root of 289114381 is about 17003.3638142575. The cubic root of 289114381 is about 661.2361139542.

The spelling of 289114381 in words is "two hundred eighty-nine million, one hundred fourteen thousand, three hundred eighty-one".