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41838337 is a prime number
BaseRepresentation
bin1001111110011…
…0011100000001
32220201121102001
42133212130001
541202311322
64052424001
71015422442
oct237463401
986647361
1041838337
1121686842
1212018001
13888b518
1457b12c9
153a16827
hex27e6701

41838337 has 2 divisors, whose sum is σ = 41838338. Its totient is φ = 41838336.

The previous prime is 41838301. The next prime is 41838373. The reversal of 41838337 is 73383814.

41838337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (41838373) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (41838301) and next prime (41838373).

It can be written as a sum of positive squares in only one way, i.e., 40947201 + 891136 = 6399^2 + 944^2 .

It is a cyclic number.

It is not a de Polignac number, because 41838337 - 223 = 33449729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41838296 and 41838305.

It is not a weakly prime, because it can be changed into another prime (41808337) 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, 20919168 + 20919169.

It is an arithmetic number, because the mean of its divisors is an integer number (20919169).

Almost surely, 241838337 is an apocalyptic number.

It is an amenable number.

41838337 is a deficient number, since it is larger than the sum of its proper divisors (1).

41838337 is an equidigital number, since it uses as much as digits as its factorization.

41838337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 41838337 is about 6468.2561019180. The cubic root of 41838337 is about 347.1561030292.

The spelling of 41838337 in words is "forty-one million, eight hundred thirty-eight thousand, three hundred thirty-seven".