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40003001 is a prime number
BaseRepresentation
bin1001100010011…
…0010110111001
32210021100210122
42120212112321
540220044001
63545223025
7664006553
oct230462671
983240718
1040003001
1120642935
1211491a75
13839801c
1454544d3
1537a2b1b
hex26265b9

40003001 has 2 divisors, whose sum is σ = 40003002. Its totient is φ = 40003000.

The previous prime is 40002983. The next prime is 40003009. The reversal of 40003001 is 10030004.

40003001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (40003009) can be obtained adding 40003001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32718400 + 7284601 = 5720^2 + 2699^2 .

It is a cyclic number.

It is not a de Polignac number, because 40003001 - 222 = 35808697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40003001.

It is not a weakly prime, because it can be changed into another prime (40003009) 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, 20001500 + 20001501.

It is an arithmetic number, because the mean of its divisors is an integer number (20001501).

Almost surely, 240003001 is an apocalyptic number.

It is an amenable number.

40003001 is a deficient number, since it is larger than the sum of its proper divisors (1).

40003001 is an equidigital number, since it uses as much as digits as its factorization.

40003001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 40003001 is about 6324.7925657685. The cubic root of 40003001 is about 342.0037418512.

Adding to 40003001 its reverse (10030004), we get a palindrome (50033005).

The spelling of 40003001 in words is "forty million, three thousand, one".