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57418301 is a prime number
BaseRepresentation
bin1101101100001…
…0001000111101
311000001011002202
43123002020331
5104144341201
65410401245
71265022203
oct333021075
9130034082
1057418301
112a458246
1217290225
13bb84b35
1478a9073
155092c6b
hex36c223d

57418301 has 2 divisors, whose sum is σ = 57418302. Its totient is φ = 57418300.

The previous prime is 57418279. The next prime is 57418303. The reversal of 57418301 is 10381475.

57418301 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., 50395801 + 7022500 = 7099^2 + 2650^2 .

It is a cyclic number.

It is not a de Polignac number, because 57418301 - 26 = 57418237 is a prime.

It is a super-2 number, since 2×574183012 = 6593722579453202, which contains 22 as substring.

Together with 57418303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57418303) 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, 28709150 + 28709151.

It is an arithmetic number, because the mean of its divisors is an integer number (28709151).

Almost surely, 257418301 is an apocalyptic number.

It is an amenable number.

57418301 is a deficient number, since it is larger than the sum of its proper divisors (1).

57418301 is an equidigital number, since it uses as much as digits as its factorization.

57418301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 57418301 is about 7577.4864566029. The cubic root of 57418301 is about 385.7892417069.

Adding to 57418301 its reverse (10381475), we get a palindrome (67799776).

The spelling of 57418301 in words is "fifty-seven million, four hundred eighteen thousand, three hundred one".