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42813511 = 1323312149
BaseRepresentation
bin1010001101010…
…0100001000111
32222120011002121
42203110201013
541430013021
64125350411
71026623506
oct243244107
988504077
1042813511
1122192474
1212408407
138b40350
14598683d
153b5a741
hex28d4847

42813511 has 24 divisors (see below), whose sum is σ = 50047200. Its totient is φ = 36336960.

The previous prime is 42813503. The next prime is 42813523. The reversal of 42813511 is 11531824.

It is not a de Polignac number, because 42813511 - 23 = 42813503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42813571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287265 + ... + 287413.

It is an arithmetic number, because the mean of its divisors is an integer number (2085300).

Almost surely, 242813511 is an apocalyptic number.

42813511 is a deficient number, since it is larger than the sum of its proper divisors (7233689).

42813511 is a wasteful number, since it uses less digits than its factorization.

42813511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 42813511 is about 6543.2034203439. The cubic root of 42813511 is about 349.8326029437.

The spelling of 42813511 in words is "forty-two million, eight hundred thirteen thousand, five hundred eleven".

Divisors: 1 13 23 31 149 299 403 713 961 1937 3427 4619 9269 12493 22103 44551 60047 106237 143189 287339 1381081 1861457 3293347 42813511