Search a number
-
+
57948809 is a prime number
BaseRepresentation
bin1101110100001…
…1101010001001
311001001002211012
43131003222021
5104313330214
65430013305
71302361652
oct335035211
9131032735
1057948809
112a78a886
12174a7235
13c00c449
1479a6529
15514a03e
hex3743a89

57948809 has 2 divisors, whose sum is σ = 57948810. Its totient is φ = 57948808.

The previous prime is 57948713. The next prime is 57948811. The reversal of 57948809 is 90884975.

57948809 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., 53655625 + 4293184 = 7325^2 + 2072^2 .

It is a cyclic number.

It is not a de Polignac number, because 57948809 - 212 = 57944713 is a prime.

Together with 57948811, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57942809) 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, 28974404 + 28974405.

It is an arithmetic number, because the mean of its divisors is an integer number (28974405).

Almost surely, 257948809 is an apocalyptic number.

It is an amenable number.

57948809 is a deficient number, since it is larger than the sum of its proper divisors (1).

57948809 is an equidigital number, since it uses as much as digits as its factorization.

57948809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 57948809 is about 7612.4115101589. The cubic root of 57948809 is about 386.9737489065.

The spelling of 57948809 in words is "fifty-seven million, nine hundred forty-eight thousand, eight hundred nine".