Search a number
-
+
57729601 is a prime number
BaseRepresentation
bin1101110000111…
…0001001000001
311000121222010101
43130032021001
5104234321401
65421202401
71300456606
oct334161101
9130558111
1057729601
112a650116
1217400401
13bc63737
14794a6ad
155105101
hex370e241

57729601 has 2 divisors, whose sum is σ = 57729602. Its totient is φ = 57729600.

The previous prime is 57729593. The next prime is 57729613. The reversal of 57729601 is 10692775.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42706225 + 15023376 = 6535^2 + 3876^2 .

It is a cyclic number.

It is not a de Polignac number, because 57729601 - 23 = 57729593 is a prime.

It is not a weakly prime, because it can be changed into another prime (57729631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28864800 + 28864801.

It is an arithmetic number, because the mean of its divisors is an integer number (28864801).

Almost surely, 257729601 is an apocalyptic number.

It is an amenable number.

57729601 is a deficient number, since it is larger than the sum of its proper divisors (1).

57729601 is an equidigital number, since it uses as much as digits as its factorization.

57729601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 57729601 is about 7597.9998025796. Note that the first 3 decimals coincide. The cubic root of 57729601 is about 386.4851859252.

The spelling of 57729601 in words is "fifty-seven million, seven hundred twenty-nine thousand, six hundred one".