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42714009 = 32131812017
BaseRepresentation
bin1010001011110…
…0001110011001
32222101002121100
42202330032121
541413322014
64123302013
71026030432
oct242741631
988332540
1042714009
1122124738
121237a909
138b06c80
14595c489
153b3b009
hex28bc399

42714009 has 24 divisors (see below), whose sum is σ = 66844232. Its totient is φ = 26127360.

The previous prime is 42713999. The next prime is 42714017. The reversal of 42714009 is 90041724.

It is a happy number.

42714009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 99225 + 42614784 = 315^2 + 6528^2 .

It is not a de Polignac number, because 42714009 - 25 = 42713977 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42714019) 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 in 23 ways as a sum of consecutive naturals, for example, 20169 + ... + 22185.

Almost surely, 242714009 is an apocalyptic number.

It is an amenable number.

42714009 is a deficient number, since it is larger than the sum of its proper divisors (24130223).

42714009 is a wasteful number, since it uses less digits than its factorization.

42714009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42714009 is about 6535.5955352209. The cubic root of 42714009 is about 349.5613798022.

The spelling of 42714009 in words is "forty-two million, seven hundred fourteen thousand, nine".

Divisors: 1 3 9 13 39 117 181 543 1629 2017 2353 6051 7059 18153 21177 26221 78663 235989 365077 1095231 3285693 4746001 14238003 42714009