Search a number
-
+
41404681 is a prime number
BaseRepresentation
bin1001110111110…
…0100100001001
32212220120112201
42131330210021
541044422211
64035240201
71011635233
oct235744411
985816481
1041404681
112140aa4a
1211a49061
138769016
1456db253
15397d0c1
hex277c909

41404681 has 2 divisors, whose sum is σ = 41404682. Its totient is φ = 41404680.

The previous prime is 41404637. The next prime is 41404703. The reversal of 41404681 is 18640414.

41404681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32672656 + 8732025 = 5716^2 + 2955^2 .

It is a cyclic number.

It is not a de Polignac number, because 41404681 - 213 = 41396489 is a prime.

It is a super-2 number, since 2×414046812 = 3428695217423522, which contains 22 as substring.

It is a Chen prime.

It is equal to p2513809 and since 41404681 and 2513809 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (41404621) 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, 20702340 + 20702341.

It is an arithmetic number, because the mean of its divisors is an integer number (20702341).

Almost surely, 241404681 is an apocalyptic number.

It is an amenable number.

41404681 is a deficient number, since it is larger than the sum of its proper divisors (1).

41404681 is an equidigital number, since it uses as much as digits as its factorization.

41404681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 41404681 is about 6434.6469211605. The cubic root of 41404681 is about 345.9525060942.

The spelling of 41404681 in words is "forty-one million, four hundred four thousand, six hundred eighty-one".