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42165311 = 376773233
BaseRepresentation
bin1010000011011…
…0010000111111
32221100012221012
42200312100333
541243242221
64103425435
71021253636
oct240662077
987305835
1042165311
112188a471
121215527b
1389742b6
14585851d
153a7d65b
hex283643f

42165311 has 16 divisors (see below), whose sum is σ = 44744544. Its totient is φ = 39688704.

The previous prime is 42165307. The next prime is 42165323. The reversal of 42165311 is 11356124.

42165311 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 42165311 - 22 = 42165307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42165341) 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 15 ways as a sum of consecutive naturals, for example, 180851 + ... + 181083.

It is an arithmetic number, because the mean of its divisors is an integer number (2796534).

Almost surely, 242165311 is an apocalyptic number.

42165311 is a deficient number, since it is larger than the sum of its proper divisors (2579233).

42165311 is a wasteful number, since it uses less digits than its factorization.

42165311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its digits is 720, while the sum is 23.

The square root of 42165311 is about 6493.4821937078. The cubic root of 42165311 is about 348.0581193941.

The spelling of 42165311 in words is "forty-two million, one hundred sixty-five thousand, three hundred eleven".

Divisors: 1 37 67 73 233 2479 2701 4891 8621 15611 17009 180967 577607 629333 1139603 42165311