Search a number
-
+
57748013 is a prime number
BaseRepresentation
bin1101110001001…
…0101000101101
311000122220101022
43130102220231
5104240414023
65421423525
71300564361
oct334225055
9130586338
1057748013
112a662a34
121740aba5
13bc6bc2b
1479532a1
15510a7c8
hex3712a2d

57748013 has 2 divisors, whose sum is σ = 57748014. Its totient is φ = 57748012.

The previous prime is 57748003. The next prime is 57748021. The reversal of 57748013 is 31084775.

57748013 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., 40921609 + 16826404 = 6397^2 + 4102^2 .

It is a cyclic number.

It is not a de Polignac number, because 57748013 - 28 = 57747757 is a prime.

It is a super-4 number, since 4×577480134 (a number of 32 digits) contains 4444 as substring.

It is equal to p3436298 and since 57748013 and 3436298 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57748003) 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, 28874006 + 28874007.

It is an arithmetic number, because the mean of its divisors is an integer number (28874007).

Almost surely, 257748013 is an apocalyptic number.

It is an amenable number.

57748013 is a deficient number, since it is larger than the sum of its proper divisors (1).

57748013 is an equidigital number, since it uses as much as digits as its factorization.

57748013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 57748013 is about 7599.2113406590. The cubic root of 57748013 is about 386.5262694638.

The spelling of 57748013 in words is "fifty-seven million, seven hundred forty-eight thousand, thirteen".