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42676713 = 34539941
BaseRepresentation
bin1010001011001…
…1000111101001
32222022012110000
42202303013221
541411123323
64122413213
71025513622
oct242630751
988265400
1042676713
11220a9712
1212361209
138ac2cc1
14594ca49
153b2ee43
hex28b31e9

42676713 has 20 divisors (see below), whose sum is σ = 64961028. Its totient is φ = 27911520.

The previous prime is 42676693. The next prime is 42676721. The reversal of 42676713 is 31767624.

42676713 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 2 ways, for example, as 10323369 + 32353344 = 3213^2 + 5688^2 .

It is a de Polignac number, because none of the positive numbers 2k-42676713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42676763) 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 19 ways as a sum of consecutive naturals, for example, 678 + ... + 9263.

Almost surely, 242676713 is an apocalyptic number.

It is an amenable number.

42676713 is a deficient number, since it is larger than the sum of its proper divisors (22284315).

42676713 is an equidigital number, since it uses as much as digits as its factorization.

42676713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 9997 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 42676713 is about 6532.7416143607. The cubic root of 42676713 is about 349.4596096189.

The spelling of 42676713 in words is "forty-two million, six hundred seventy-six thousand, seven hundred thirteen".

Divisors: 1 3 9 27 53 81 159 477 1431 4293 9941 29823 89469 268407 526873 805221 1580619 4741857 14225571 42676713