Search a number
-
+
57428513 is a prime number
BaseRepresentation
bin1101101100010…
…0101000100001
311000001200002222
43123010220201
5104200203023
65410520425
71265064032
oct333045041
9130050088
1057428513
112a46498a
1217296115
13bb8968c
1478aca89
155095cc8
hex36c4a21

57428513 has 2 divisors, whose sum is σ = 57428514. Its totient is φ = 57428512.

The previous prime is 57428491. The next prime is 57428537. The reversal of 57428513 is 31582475.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54582544 + 2845969 = 7388^2 + 1687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57428513 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (57428573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28714256 + 28714257.

It is an arithmetic number, because the mean of its divisors is an integer number (28714257).

Almost surely, 257428513 is an apocalyptic number.

It is an amenable number.

57428513 is a deficient number, since it is larger than the sum of its proper divisors (1).

57428513 is an equidigital number, since it uses as much as digits as its factorization.

57428513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33600, while the sum is 35.

The square root of 57428513 is about 7578.1602648664. The cubic root of 57428513 is about 385.8121115709.

The spelling of 57428513 in words is "fifty-seven million, four hundred twenty-eight thousand, five hundred thirteen".