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57984673 is a prime number
BaseRepresentation
bin1101110100110…
…0011010100001
311001002221000111
43131030122201
5104321002143
65430451321
71302601345
oct335143241
9131087014
1057984673
112a80481a
1217503b41
13c022876
1479b5625
15515599d
hex374c6a1

57984673 has 2 divisors, whose sum is σ = 57984674. Its totient is φ = 57984672.

The previous prime is 57984649. The next prime is 57984697. The reversal of 57984673 is 37648975.

It is a happy number.

57984673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (57984649) and next prime (57984697).

It can be written as a sum of positive squares in only one way, i.e., 54420129 + 3564544 = 7377^2 + 1888^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57984673 is a prime.

It is not a weakly prime, because it can be changed into another prime (57984623) 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, 28992336 + 28992337.

It is an arithmetic number, because the mean of its divisors is an integer number (28992337).

Almost surely, 257984673 is an apocalyptic number.

It is an amenable number.

57984673 is a deficient number, since it is larger than the sum of its proper divisors (1).

57984673 is an equidigital number, since it uses as much as digits as its factorization.

57984673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 49.

The square root of 57984673 is about 7614.7667725282. The cubic root of 57984673 is about 387.0535639748.

The spelling of 57984673 in words is "fifty-seven million, nine hundred eighty-four thousand, six hundred seventy-three".