Search a number
-
+
57642581 is a prime number
BaseRepresentation
bin1101101111100…
…0111001010101
311000110112202102
43123320321111
5104224030311
65415251445
71266645113
oct333707125
9130415672
1057642581
112a5a07a7
1217379b85
13bc32c49
147926ab3
1550d943b
hex36f8e55

57642581 has 2 divisors, whose sum is σ = 57642582. Its totient is φ = 57642580.

The previous prime is 57642553. The next prime is 57642583. The reversal of 57642581 is 18524675.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57138481 + 504100 = 7559^2 + 710^2 .

It is a cyclic number.

It is not a de Polignac number, because 57642581 - 210 = 57641557 is a prime.

It is a super-2 number, since 2×576425812 = 6645334288683122, which contains 22 as substring.

Together with 57642583, 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 (57642583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28821290 + 28821291.

It is an arithmetic number, because the mean of its divisors is an integer number (28821291).

Almost surely, 257642581 is an apocalyptic number.

It is an amenable number.

57642581 is a deficient number, since it is larger than the sum of its proper divisors (1).

57642581 is an equidigital number, since it uses as much as digits as its factorization.

57642581 is an evil number, because the sum of its binary digits is even.

The product of its digits is 67200, while the sum is 38.

The square root of 57642581 is about 7592.2711358328. The cubic root of 57642581 is about 386.2908959187.

The spelling of 57642581 in words is "fifty-seven million, six hundred forty-two thousand, five hundred eighty-one".