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57434593 is a prime number
BaseRepresentation
bin1101101100011…
…0000111100001
311000001222110011
43123012013201
5104200401333
65411004521
71265120536
oct333060741
9130058404
1057434593
112a469507
1217299741
13bb8c388
1478b0d8d
1550979cd
hex36c61e1

57434593 has 2 divisors, whose sum is σ = 57434594. Its totient is φ = 57434592.

The previous prime is 57434591. The next prime is 57434609. The reversal of 57434593 is 39543475.

It is a happy number.

57434593 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., 48052624 + 9381969 = 6932^2 + 3063^2 .

It is a cyclic number.

It is not a de Polignac number, because 57434593 - 21 = 57434591 is a prime.

Together with 57434591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57434591) 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, 28717296 + 28717297.

It is an arithmetic number, because the mean of its divisors is an integer number (28717297).

Almost surely, 257434593 is an apocalyptic number.

It is an amenable number.

57434593 is a deficient number, since it is larger than the sum of its proper divisors (1).

57434593 is an equidigital number, since it uses as much as digits as its factorization.

57434593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 40.

The square root of 57434593 is about 7578.5614070218. The cubic root of 57434593 is about 385.8257264969.

The spelling of 57434593 in words is "fifty-seven million, four hundred thirty-four thousand, five hundred ninety-three".