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57790801 is a prime number
BaseRepresentation
bin1101110001110…
…1000101010001
311000202002002001
43130131011101
5104243301201
65422354001
71301133205
oct334350521
9130662061
1057790801
112a6920a2
121742b901
13bc85553
147964b05
155118301
hex371d151

57790801 has 2 divisors, whose sum is σ = 57790802. Its totient is φ = 57790800.

The previous prime is 57790793. The next prime is 57790813. The reversal of 57790801 is 10809775.

57790801 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., 31371201 + 26419600 = 5601^2 + 5140^2 .

It is a cyclic number.

It is not a de Polignac number, because 57790801 - 23 = 57790793 is a prime.

It is a super-3 number, since 3×577908013 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (57790841) 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, 28895400 + 28895401.

It is an arithmetic number, because the mean of its divisors is an integer number (28895401).

Almost surely, 257790801 is an apocalyptic number.

It is an amenable number.

57790801 is a deficient number, since it is larger than the sum of its proper divisors (1).

57790801 is an equidigital number, since it uses as much as digits as its factorization.

57790801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 37.

The square root of 57790801 is about 7602.0261115047. The cubic root of 57790801 is about 386.6217105713.

It can be divided in two parts, 577 and 90801, that added together give a triangular number (91378 = T427).

The spelling of 57790801 in words is "fifty-seven million, seven hundred ninety thousand, eight hundred one".