Search a number
-
+
41801761 is a prime number
BaseRepresentation
bin1001111101110…
…1100000100001
32220122202020101
42133131200201
541200124021
64051542401
71015211011
oct237354041
986582211
1041801761
1121661311
1211bbaa01
138877991
1457a1c41
153a0aa91
hex27dd821

41801761 has 2 divisors, whose sum is σ = 41801762. Its totient is φ = 41801760.

The previous prime is 41801743. The next prime is 41801777. The reversal of 41801761 is 16710814.

41801761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 2640-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23824161 + 17977600 = 4881^2 + 4240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41801761 is a prime.

It is a super-2 number, since 2×418017612 = 3494774445402242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (41801701) 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, 20900880 + 20900881.

It is an arithmetic number, because the mean of its divisors is an integer number (20900881).

Almost surely, 241801761 is an apocalyptic number.

It is an amenable number.

41801761 is a deficient number, since it is larger than the sum of its proper divisors (1).

41801761 is an equidigital number, since it uses as much as digits as its factorization.

41801761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 41801761 is about 6465.4281374090. The cubic root of 41801761 is about 347.0549096860.

The spelling of 41801761 in words is "forty-one million, eight hundred one thousand, seven hundred sixty-one".