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46768349 is a prime number
BaseRepresentation
bin1011001001101…
…0000011011101
310021000002010002
42302122003131
543433041344
64350224045
71105344605
oct262320335
9107002102
1046768349
1124443831
12137b5025
1398c64a4
1462d5c05
15418c44e
hex2c9a0dd

46768349 has 2 divisors, whose sum is σ = 46768350. Its totient is φ = 46768348.

The previous prime is 46768279. The next prime is 46768363. The reversal of 46768349 is 94386764.

46768349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34727449 + 12040900 = 5893^2 + 3470^2 .

It is a cyclic number.

It is not a de Polignac number, because 46768349 - 212 = 46764253 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46768369) 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, 23384174 + 23384175.

It is an arithmetic number, because the mean of its divisors is an integer number (23384175).

Almost surely, 246768349 is an apocalyptic number.

It is an amenable number.

46768349 is a deficient number, since it is larger than the sum of its proper divisors (1).

46768349 is an equidigital number, since it uses as much as digits as its factorization.

46768349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 47.

The square root of 46768349 is about 6838.7388457229. The cubic root of 46768349 is about 360.2887318430.

The spelling of 46768349 in words is "forty-six million, seven hundred sixty-eight thousand, three hundred forty-nine".