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40536761 is a prime number
BaseRepresentation
bin1001101010100…
…0101010111001
32211021110222112
42122220222321
540334134021
64004502105
71001361656
oct232505271
984243875
1040536761
1120977961
12116aa935
138523c65
145552c2d
15385ad5b
hex26a8ab9

40536761 has 2 divisors, whose sum is σ = 40536762. Its totient is φ = 40536760.

The previous prime is 40536739. The next prime is 40536781. The reversal of 40536761 is 16763504.

40536761 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., 35940025 + 4596736 = 5995^2 + 2144^2 .

It is a cyclic number.

It is not a de Polignac number, because 40536761 - 26 = 40536697 is a prime.

It is a super-2 number, since 2×405367612 = 3286457984742242, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40536731) 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, 20268380 + 20268381.

It is an arithmetic number, because the mean of its divisors is an integer number (20268381).

Almost surely, 240536761 is an apocalyptic number.

It is an amenable number.

40536761 is a deficient number, since it is larger than the sum of its proper divisors (1).

40536761 is an equidigital number, since it uses as much as digits as its factorization.

40536761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 40536761 is about 6366.8485925142. The cubic root of 40536761 is about 343.5181446542.

The spelling of 40536761 in words is "forty million, five hundred thirty-six thousand, seven hundred sixty-one".