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54337993 is a prime number
BaseRepresentation
bin1100111101001…
…0000111001001
310210020122201021
43033102013021
5102402303433
65220352441
71226602543
oct317220711
9123218637
1054337993
1128743a36
1216245721
13b346a78
147306693
154b8522d
hex33d21c9

54337993 has 2 divisors, whose sum is σ = 54337994. Its totient is φ = 54337992.

The previous prime is 54337991. The next prime is 54338021. The reversal of 54337993 is 39973345.

54337993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43401744 + 10936249 = 6588^2 + 3307^2 .

It is a cyclic number.

It is not a de Polignac number, because 54337993 - 21 = 54337991 is a prime.

Together with 54337991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (54337991) 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, 27168996 + 27168997.

It is an arithmetic number, because the mean of its divisors is an integer number (27168997).

Almost surely, 254337993 is an apocalyptic number.

It is an amenable number.

54337993 is a deficient number, since it is larger than the sum of its proper divisors (1).

54337993 is an equidigital number, since it uses as much as digits as its factorization.

54337993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 306180, while the sum is 43.

The square root of 54337993 is about 7371.4308651713. The cubic root of 54337993 is about 378.7632762649.

The spelling of 54337993 in words is "fifty-four million, three hundred thirty-seven thousand, nine hundred ninety-three".