[go: up one dir, main page]

Search a number
-
+
57115813 is a prime number
BaseRepresentation
bin1101100111100…
…0010010100101
310222110210011111
43121320102211
5104110201223
65400105021
71262322256
oct331702245
9128423144
1057115813
112a270a57
1217165171
13baaa251
14782ab2d
15503330d
hex36784a5

57115813 has 2 divisors, whose sum is σ = 57115814. Its totient is φ = 57115812.

The previous prime is 57115811. The next prime is 57115859. The reversal of 57115813 is 31851175.

57115813 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., 47983329 + 9132484 = 6927^2 + 3022^2 .

It is a cyclic number.

It is not a de Polignac number, because 57115813 - 21 = 57115811 is a prime.

Together with 57115811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57115811) 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, 28557906 + 28557907.

It is an arithmetic number, because the mean of its divisors is an integer number (28557907).

Almost surely, 257115813 is an apocalyptic number.

It is an amenable number.

57115813 is a deficient number, since it is larger than the sum of its proper divisors (1).

57115813 is an equidigital number, since it uses as much as digits as its factorization.

57115813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 31.

The square root of 57115813 is about 7557.5004465762. The cubic root of 57115813 is about 385.1105838520.

Adding to 57115813 its reverse (31851175), we get a palindrome (88966988).

It can be divided in two parts, 571 and 15813, that added together give a 14-th power (16384 = 214).

The spelling of 57115813 in words is "fifty-seven million, one hundred fifteen thousand, eight hundred thirteen".