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42038713 is a prime number
BaseRepresentation
bin1010000001011…
…1010110111001
32221002210021101
42200113112321
541230214323
64101011401
71020215563
oct240272671
987083241
1042038713
1121803342
12120b3b61
13892b7a2
145824333
153a55dad
hex28175b9

42038713 has 2 divisors, whose sum is σ = 42038714. Its totient is φ = 42038712.

The previous prime is 42038707. The next prime is 42038723. The reversal of 42038713 is 31783024.

42038713 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., 25130169 + 16908544 = 5013^2 + 4112^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42038713 is a prime.

It is not a weakly prime, because it can be changed into another prime (42038723) 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, 21019356 + 21019357.

It is an arithmetic number, because the mean of its divisors is an integer number (21019357).

Almost surely, 242038713 is an apocalyptic number.

It is an amenable number.

42038713 is a deficient number, since it is larger than the sum of its proper divisors (1).

42038713 is an equidigital number, since it uses as much as digits as its factorization.

42038713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42038713 is about 6483.7267832628. The cubic root of 42038713 is about 347.7094312310.

The spelling of 42038713 in words is "forty-two million, thirty-eight thousand, seven hundred thirteen".