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57977609 is a prime number
BaseRepresentation
bin1101110100101…
…0101100001001
311001002120022212
43131022230021
5104320240414
65430354505
71302541634
oct335125411
9131076285
1057977609
112a7aa488
12174bba35
13c01c5a1
1479b2c1b
15515383e
hex374ab09

57977609 has 2 divisors, whose sum is σ = 57977610. Its totient is φ = 57977608.

The previous prime is 57977581. The next prime is 57977693. The reversal of 57977609 is 90677975.

57977609 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., 32947600 + 25030009 = 5740^2 + 5003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57977609 is a prime.

It is a super-2 number, since 2×579776092 = 6722806290713762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57977009) 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, 28988804 + 28988805.

It is an arithmetic number, because the mean of its divisors is an integer number (28988805).

Almost surely, 257977609 is an apocalyptic number.

It is an amenable number.

57977609 is a deficient number, since it is larger than the sum of its proper divisors (1).

57977609 is an equidigital number, since it uses as much as digits as its factorization.

57977609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 833490, while the sum is 50.

The square root of 57977609 is about 7614.3029227895. The cubic root of 57977609 is about 387.0378456980.

The spelling of 57977609 in words is "fifty-seven million, nine hundred seventy-seven thousand, six hundred nine".