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57668041 is a prime number
BaseRepresentation
bin1101101111111…
…1000111001001
311000111211200101
43123333013021
5104230334131
65420005401
71300112254
oct333770711
9130454611
1057668041
112a608942
1217390861
13bc41702
14793209b
1550e1c61
hex36ff1c9

57668041 has 2 divisors, whose sum is σ = 57668042. Its totient is φ = 57668040.

The previous prime is 57668027. The next prime is 57668053. The reversal of 57668041 is 14086675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36240400 + 21427641 = 6020^2 + 4629^2 .

It is a cyclic number.

It is not a de Polignac number, because 57668041 - 27 = 57667913 is a prime.

It is not a weakly prime, because it can be changed into another prime (57663041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28834020 + 28834021.

It is an arithmetic number, because the mean of its divisors is an integer number (28834021).

Almost surely, 257668041 is an apocalyptic number.

It is an amenable number.

57668041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57668041 is an equidigital number, since it uses as much as digits as its factorization.

57668041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 57668041 is about 7593.9476558638. The cubic root of 57668041 is about 386.3477608173.

The spelling of 57668041 in words is "fifty-seven million, six hundred sixty-eight thousand, forty-one".