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40412137 is a prime number
BaseRepresentation
bin1001101000101…
…0001111101001
32211001011000211
42122022033221
540321142022
64002101121
71000332433
oct232121751
984034024
1040412137
11208a2267
121164a7a1
1384ac30c
14551d653
153833e77
hex268a3e9

40412137 has 2 divisors, whose sum is σ = 40412138. Its totient is φ = 40412136.

The previous prime is 40412093. The next prime is 40412147. The reversal of 40412137 is 73121404.

40412137 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., 30702681 + 9709456 = 5541^2 + 3116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40412137 is a prime.

It is not a weakly prime, because it can be changed into another prime (40412147) 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, 20206068 + 20206069.

It is an arithmetic number, because the mean of its divisors is an integer number (20206069).

Almost surely, 240412137 is an apocalyptic number.

It is an amenable number.

40412137 is a deficient number, since it is larger than the sum of its proper divisors (1).

40412137 is an equidigital number, since it uses as much as digits as its factorization.

40412137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 40412137 is about 6357.0541133453. The cubic root of 40412137 is about 343.1657521524.

The spelling of 40412137 in words is "forty million, four hundred twelve thousand, one hundred thirty-seven".