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40506317 is a prime number
BaseRepresentation
bin1001101010000…
…1001111001101
32211012221012222
42122201033031
540332200232
64004105125
71001204135
oct232411715
984187188
1040506317
1120956aa5
12116951a5
138513147
145545ac5
153851d12
hex26a13cd

40506317 has 2 divisors, whose sum is σ = 40506318. Its totient is φ = 40506316.

The previous prime is 40506299. The next prime is 40506331. The reversal of 40506317 is 71360504.

40506317 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., 29041321 + 11464996 = 5389^2 + 3386^2 .

It is a cyclic number.

It is not a de Polignac number, because 40506317 - 212 = 40502221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40506377) 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, 20253158 + 20253159.

It is an arithmetic number, because the mean of its divisors is an integer number (20253159).

Almost surely, 240506317 is an apocalyptic number.

It is an amenable number.

40506317 is a deficient number, since it is larger than the sum of its proper divisors (1).

40506317 is an equidigital number, since it uses as much as digits as its factorization.

40506317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 40506317 is about 6364.4573217204. The cubic root of 40506317 is about 343.4321265535.

The spelling of 40506317 in words is "forty million, five hundred six thousand, three hundred seventeen".