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54047681 is a prime number
BaseRepresentation
bin1100111000101…
…1001111000001
310202200220110222
43032023033001
5102314011211
65210232425
71224253262
oct316131701
9122626428
1054047681
1128565906
1216125715
13b27489c
14726c969
154b291db
hex338b3c1

54047681 has 2 divisors, whose sum is σ = 54047682. Its totient is φ = 54047680.

The previous prime is 54047633. The next prime is 54047683. The reversal of 54047681 is 18674045.

54047681 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., 47334400 + 6713281 = 6880^2 + 2591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54047681 is a prime.

It is a super-2 number, since 2×540476812 = 5842303642955522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 54047683, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (54047683) 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, 27023840 + 27023841.

It is an arithmetic number, because the mean of its divisors is an integer number (27023841).

Almost surely, 254047681 is an apocalyptic number.

It is an amenable number.

54047681 is a deficient number, since it is larger than the sum of its proper divisors (1).

54047681 is an equidigital number, since it uses as much as digits as its factorization.

54047681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 54047681 is about 7351.7127936284. The cubic root of 54047681 is about 378.0875309365.

The spelling of 54047681 in words is "fifty-four million, forty-seven thousand, six hundred eighty-one".