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40728713 is a prime number
BaseRepresentation
bin1001101101011…
…1100010001001
32211122020021212
42123113202021
540411304323
64012542505
71003121414
oct233274211
984566255
1040728713
1120a990a3
1211781a35
13859043c
1455a2b7b
153897b78
hex26d7889

40728713 has 2 divisors, whose sum is σ = 40728714. Its totient is φ = 40728712.

The previous prime is 40728683. The next prime is 40728739. The reversal of 40728713 is 31782704.

It is a happy number.

40728713 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., 32126224 + 8602489 = 5668^2 + 2933^2 .

It is a cyclic number.

It is not a de Polignac number, because 40728713 - 216 = 40663177 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40728713.

It is not a weakly prime, because it can be changed into another prime (40728763) 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, 20364356 + 20364357.

It is an arithmetic number, because the mean of its divisors is an integer number (20364357).

Almost surely, 240728713 is an apocalyptic number.

It is an amenable number.

40728713 is a deficient number, since it is larger than the sum of its proper divisors (1).

40728713 is an equidigital number, since it uses as much as digits as its factorization.

40728713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 40728713 is about 6381.9051230804. The cubic root of 40728713 is about 344.0595066743.

The spelling of 40728713 in words is "forty million, seven hundred twenty-eight thousand, seven hundred thirteen".