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40002041 is a prime number
BaseRepresentation
bin1001100010011…
…0000111111001
32210021022111002
42120212013321
540220031131
63545214345
7664004012
oct230460771
983238432
1040002041
1120642142
12114913b5
138397761
145454009
1537a26cb
hex26261f9

40002041 has 2 divisors, whose sum is σ = 40002042. Its totient is φ = 40002040.

The previous prime is 40002023. The next prime is 40002043. The reversal of 40002041 is 14020004.

40002041 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., 26832400 + 13169641 = 5180^2 + 3629^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40002041 is a prime.

Together with 40002043, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 40002041 parts by 8944 straight cuts.

It is not a weakly prime, because it can be changed into another prime (40002043) 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, 20001020 + 20001021.

It is an arithmetic number, because the mean of its divisors is an integer number (20001021).

Almost surely, 240002041 is an apocalyptic number.

It is an amenable number.

40002041 is a deficient number, since it is larger than the sum of its proper divisors (1).

40002041 is an equidigital number, since it uses as much as digits as its factorization.

40002041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 40002041 is about 6324.7166734961. The cubic root of 40002041 is about 342.0010060046.

Adding to 40002041 its reverse (14020004), we get a palindrome (54022045).

The spelling of 40002041 in words is "forty million, two thousand, forty-one".