Search a number
-
+
57573493 is a prime number
BaseRepresentation
bin1101101110100…
…0000001110101
311000100000222121
43123220001311
5104214322433
65413555541
71266236515
oct333500165
9130300877
1057573493
112a5538aa
1217345bb1
13bc0a673
147909845
1550c3c2d
hex36e8075

57573493 has 2 divisors, whose sum is σ = 57573494. Its totient is φ = 57573492.

The previous prime is 57573491. The next prime is 57573521. The reversal of 57573493 is 39437575.

It is a happy number.

57573493 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., 56655729 + 917764 = 7527^2 + 958^2 .

It is a cyclic number.

It is not a de Polignac number, because 57573493 - 21 = 57573491 is a prime.

Together with 57573491, 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 (57573491) 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, 28786746 + 28786747.

It is an arithmetic number, because the mean of its divisors is an integer number (28786747).

Almost surely, 257573493 is an apocalyptic number.

It is an amenable number.

57573493 is a deficient number, since it is larger than the sum of its proper divisors (1).

57573493 is an equidigital number, since it uses as much as digits as its factorization.

57573493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 396900, while the sum is 43.

The square root of 57573493 is about 7587.7198814927. The cubic root of 57573493 is about 386.1365034860.

The spelling of 57573493 in words is "fifty-seven million, five hundred seventy-three thousand, four hundred ninety-three".