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40097933 is a prime number
BaseRepresentation
bin1001100011110…
…1100010001101
32210110012000122
42120331202031
540231113213
63551234325
7664553411
oct230754215
983405018
1040097933
11206a8197
12115189a5
1383cc2b5
14547ad41
1537c0d08
hex263d88d

40097933 has 2 divisors, whose sum is σ = 40097934. Its totient is φ = 40097932.

The previous prime is 40097927. The next prime is 40097977. The reversal of 40097933 is 33979004.

40097933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33327529 + 6770404 = 5773^2 + 2602^2 .

It is a cyclic number.

It is not a de Polignac number, because 40097933 - 210 = 40096909 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40097893 and 40097902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40097983) 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, 20048966 + 20048967.

It is an arithmetic number, because the mean of its divisors is an integer number (20048967).

Almost surely, 240097933 is an apocalyptic number.

It is an amenable number.

40097933 is a deficient number, since it is larger than the sum of its proper divisors (1).

40097933 is an equidigital number, since it uses as much as digits as its factorization.

40097933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 40097933 is about 6332.2928706749. The cubic root of 40097933 is about 342.2740669886.

The spelling of 40097933 in words is "forty million, ninety-seven thousand, nine hundred thirty-three".