Search a number
-
+
57101393 is a prime number
BaseRepresentation
bin1101100111010…
…0110001010001
310222110001101102
43121310301101
5104104221033
65355514145
71262232236
oct331646121
9128401342
1057101393
112a261138
1217158955
13baa380b
14782578d
15502dde8
hex3674c51

57101393 has 2 divisors, whose sum is σ = 57101394. Its totient is φ = 57101392.

The previous prime is 57101389. The next prime is 57101399. The reversal of 57101393 is 39310175.

57101393 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., 30393169 + 26708224 = 5513^2 + 5168^2 .

It is a cyclic number.

It is not a de Polignac number, because 57101393 - 22 = 57101389 is a prime.

It is not a weakly prime, because it can be changed into another prime (57101399) 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, 28550696 + 28550697.

It is an arithmetic number, because the mean of its divisors is an integer number (28550697).

Almost surely, 257101393 is an apocalyptic number.

It is an amenable number.

57101393 is a deficient number, since it is larger than the sum of its proper divisors (1).

57101393 is an equidigital number, since it uses as much as digits as its factorization.

57101393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 57101393 is about 7556.5463672236. The cubic root of 57101393 is about 385.0781715670.

The spelling of 57101393 in words is "fifty-seven million, one hundred one thousand, three hundred ninety-three".