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42135863 = 7111983347
BaseRepresentation
bin1010000010111…
…1000100110111
32221021201112112
42200233010313
541241321423
64103041235
71021102040
oct240570467
987251475
1042135863
112186a330
121214021b
138963a83
14584b8c7
153a74a78
hex282f137

42135863 has 32 divisors (see below), whose sum is σ = 56125440. Its totient is φ = 30641760.

The previous prime is 42135833. The next prime is 42135871. The reversal of 42135863 is 36853124.

42135863 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42135863 - 26 = 42135799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135833) 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 31 ways as a sum of consecutive naturals, for example, 121256 + ... + 121602.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 242135863 is an apocalyptic number.

42135863 is a deficient number, since it is larger than the sum of its proper divisors (13989577).

42135863 is a wasteful number, since it uses less digits than its factorization.

42135863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467.

The product of its digits is 17280, while the sum is 32.

The square root of 42135863 is about 6491.2142931812. The cubic root of 42135863 is about 347.9770732903.

Adding to 42135863 its reverse (36853124), we get a palindrome (78988987).

The spelling of 42135863 in words is "forty-two million, one hundred thirty-five thousand, eight hundred sixty-three".

Divisors: 1 7 11 19 77 83 133 209 347 581 913 1463 1577 2429 3817 6391 6593 11039 17347 26719 28801 46151 72523 121429 201607 316811 507661 547219 2217677 3830533 6019409 42135863