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41600401 is a prime number
BaseRepresentation
bin1001111010110…
…0010110010001
32220021112000121
42132230112101
541122203101
64043350241
71013411653
oct236542621
986245017
1041600401
1121533aa7
1211b22381
13880712b
14574c6d3
1539bb0a1
hex27ac591

41600401 has 2 divisors, whose sum is σ = 41600402. Its totient is φ = 41600400.

The previous prime is 41600387. The next prime is 41600407. The reversal of 41600401 is 10400614.

It is a happy number.

41600401 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., 33074001 + 8526400 = 5751^2 + 2920^2 .

It is a cyclic number.

It is not a de Polignac number, because 41600401 - 225 = 8045969 is a prime.

It is not a weakly prime, because it can be changed into another prime (41600407) 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, 20800200 + 20800201.

It is an arithmetic number, because the mean of its divisors is an integer number (20800201).

Almost surely, 241600401 is an apocalyptic number.

It is an amenable number.

41600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

41600401 is an equidigital number, since it uses as much as digits as its factorization.

41600401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41600401 is about 6449.8372847693. The cubic root of 41600401 is about 346.4967554721.

The spelling of 41600401 in words is "forty-one million, six hundred thousand, four hundred one".