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57779081 is a prime number
BaseRepresentation
bin1101110001101…
…0001110001001
311000201110222222
43130122032021
5104242412311
65422223425
71301054063
oct334321611
9130643888
1057779081
112a684308
1217424b75
13bc80109
147960733
155114adb
hex371a389

57779081 has 2 divisors, whose sum is σ = 57779082. Its totient is φ = 57779080.

The previous prime is 57779023. The next prime is 57779083. The reversal of 57779081 is 18097775.

57779081 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., 29593600 + 28185481 = 5440^2 + 5309^2 .

It is a cyclic number.

It is not a de Polignac number, because 57779081 - 210 = 57778057 is a prime.

It is a super-2 number, since 2×577790812 = 6676844402409122, which contains 22 as substring.

Together with 57779083, 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 (57779083) 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, 28889540 + 28889541.

It is an arithmetic number, because the mean of its divisors is an integer number (28889541).

Almost surely, 257779081 is an apocalyptic number.

It is an amenable number.

57779081 is a deficient number, since it is larger than the sum of its proper divisors (1).

57779081 is an equidigital number, since it uses as much as digits as its factorization.

57779081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 44.

The square root of 57779081 is about 7601.2552252901. The cubic root of 57779081 is about 386.5955731197.

The spelling of 57779081 in words is "fifty-seven million, seven hundred seventy-nine thousand, eighty-one".