Search a number
-
+
42597641 is a prime number
BaseRepresentation
bin1010001001111…
…1110100001001
32222011011222102
42202133310021
541401111031
64121003145
71025034242
oct242376411
988134872
1042597641
1122055269
12123234b5
138a96008
14592bcc9
153b167cb
hex289fd09

42597641 has 2 divisors, whose sum is σ = 42597642. Its totient is φ = 42597640.

The previous prime is 42597629. The next prime is 42597661. The reversal of 42597641 is 14679524.

42597641 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., 25200400 + 17397241 = 5020^2 + 4171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42597641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42597595 and 42597604.

It is not a weakly prime, because it can be changed into another prime (42597661) 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, 21298820 + 21298821.

It is an arithmetic number, because the mean of its divisors is an integer number (21298821).

Almost surely, 242597641 is an apocalyptic number.

It is an amenable number.

42597641 is a deficient number, since it is larger than the sum of its proper divisors (1).

42597641 is an equidigital number, since it uses as much as digits as its factorization.

42597641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 60480, while the sum is 38.

The square root of 42597641 is about 6526.6868317700. The cubic root of 42597641 is about 349.2436483305.

The spelling of 42597641 in words is "forty-two million, five hundred ninety-seven thousand, six hundred forty-one".