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42135918 = 2311638423
BaseRepresentation
bin1010000010111…
…1000101101110
32221021201121120
42200233011232
541241322133
64103041410
71021102146
oct240570556
987251546
1042135918
112186a380
1212140266
138963ac6
14584b926
153a74ab3
hex282f16e

42135918 has 16 divisors (see below), whose sum is σ = 91933056. Its totient is φ = 12768440.

The previous prime is 42135917. The next prime is 42135941. The reversal of 42135918 is 81953124.

42135918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42135917) 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, 319146 + ... + 319277.

It is an arithmetic number, because the mean of its divisors is an integer number (5745816).

Almost surely, 242135918 is an apocalyptic number.

42135918 is an abundant number, since it is smaller than the sum of its proper divisors (49797138).

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

42135918 is a wasteful number, since it uses less digits than its factorization.

42135918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638439.

The product of its digits is 8640, while the sum is 33.

The square root of 42135918 is about 6491.2185296753. The cubic root of 42135918 is about 347.9772246952.

The spelling of 42135918 in words is "forty-two million, one hundred thirty-five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 11 22 33 66 638423 1276846 1915269 3830538 7022653 14045306 21067959 42135918