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42935013 = 32111797263
BaseRepresentation
bin1010001111001…
…0001011100101
32222210022202200
42203302023211
541442410023
64132125113
71030640652
oct243621345
988708680
1042935013
1122265790
1212466799
138b83744
1459b8c29
153b81743
hex28f22e5

42935013 has 48 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 24145920.

The previous prime is 42934961. The next prime is 42935029. The reversal of 42935013 is 31053924.

42935013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42935013 - 29 = 42934501 is a prime.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42935063) 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 47 ways as a sum of consecutive naturals, for example, 163120 + ... + 163382.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 242935013 is an apocalyptic number.

It is an amenable number.

42935013 is a deficient number, since it is larger than the sum of its proper divisors (29713563).

42935013 is a wasteful number, since it uses less digits than its factorization.

42935013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 42935013 is about 6552.4814383560. The cubic root of 42935013 is about 350.1632245477.

Adding to 42935013 its reverse (31053924), we get a palindrome (73988937).

The spelling of 42935013 in words is "forty-two million, nine hundred thirty-five thousand, thirteen".

Divisors: 1 3 9 11 17 33 51 97 99 153 187 263 291 561 789 873 1067 1649 1683 2367 2893 3201 4471 4947 8679 9603 13413 14841 18139 25511 26037 40239 49181 54417 76533 147543 163251 229599 280621 433687 442629 841863 1301061 2525589 3903183 4770557 14311671 42935013