Search a number
-
+
41460509 is a prime number
BaseRepresentation
bin1001111000101…
…0001100011101
32220000102010102
42132022030131
541103214014
64040350445
71012260056
oct236121435
986012112
1041460509
1121448992
1211a75425
13878855c
14571372d
15398e8de
hex278a31d

41460509 has 2 divisors, whose sum is σ = 41460510. Its totient is φ = 41460508.

The previous prime is 41460499. The next prime is 41460563. The reversal of 41460509 is 90506414.

41460509 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., 29920900 + 11539609 = 5470^2 + 3397^2 .

It is a cyclic number.

It is not a de Polignac number, because 41460509 - 24 = 41460493 is a prime.

It is a super-3 number, since 3×414605093 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41460599) 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, 20730254 + 20730255.

It is an arithmetic number, because the mean of its divisors is an integer number (20730255).

Almost surely, 241460509 is an apocalyptic number.

It is an amenable number.

41460509 is a deficient number, since it is larger than the sum of its proper divisors (1).

41460509 is an equidigital number, since it uses as much as digits as its factorization.

41460509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 41460509 is about 6438.9835377954. The cubic root of 41460509 is about 346.1079246116.

The spelling of 41460509 in words is "forty-one million, four hundred sixty thousand, five hundred nine".