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45106349 is a prime number
BaseRepresentation
bin1010110000010…
…0010010101101
310010212122021112
42230010102231
543021400344
64250441405
71055253251
oct254042255
9103778245
1045106349
1123509082
1213133265
139463b62
145dc2261
153e5ec9e
hex2b044ad

45106349 has 2 divisors, whose sum is σ = 45106350. Its totient is φ = 45106348.

The previous prime is 45106309. The next prime is 45106351. The reversal of 45106349 is 94360154.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44983849 + 122500 = 6707^2 + 350^2 .

It is a cyclic number.

It is not a de Polignac number, because 45106349 - 28 = 45106093 is a prime.

It is a Sophie Germain prime.

Together with 45106351, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45106309) 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, 22553174 + 22553175.

It is an arithmetic number, because the mean of its divisors is an integer number (22553175).

Almost surely, 245106349 is an apocalyptic number.

It is an amenable number.

45106349 is a deficient number, since it is larger than the sum of its proper divisors (1).

45106349 is an equidigital number, since it uses as much as digits as its factorization.

45106349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 45106349 is about 6716.1260411044. The cubic root of 45106349 is about 355.9693115195.

The spelling of 45106349 in words is "forty-five million, one hundred six thousand, three hundred forty-nine".