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42105318 = 2323305111
BaseRepresentation
bin1010000010011…
…1100111100110
32221020011122020
42200213213212
541234332233
64102244010
71020614013
oct240474746
987204566
1042105318
1121849392
1212126606
138952bb8
14584070a
153a6a9b3
hex28279e6

42105318 has 16 divisors (see below), whose sum is σ = 87872256. Its totient is φ = 13424840.

The previous prime is 42105317. The next prime is 42105331. The reversal of 42105318 is 81350124.

42105318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421053182 = 3545715607762248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105313) 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 7 ways as a sum of consecutive naturals, for example, 152418 + ... + 152693.

It is an arithmetic number, because the mean of its divisors is an integer number (5492016).

Almost surely, 242105318 is an apocalyptic number.

42105318 is an abundant number, since it is smaller than the sum of its proper divisors (45766938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42105318 is a wasteful number, since it uses less digits than its factorization.

42105318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305139.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 42105318 is about 6488.8610710971. The cubic root of 42105318 is about 347.8929681413.

The spelling of 42105318 in words is "forty-two million, one hundred five thousand, three hundred eighteen".

Divisors: 1 2 3 6 23 46 69 138 305111 610222 915333 1830666 7017553 14035106 21052659 42105318