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3936042 = 23211103193
BaseRepresentation
bin1111000000111100101010
321101222020100
433000330222
52001423132
6220210230
745312225
oct17007452
97358210
103936042
112249230
121399976
13a7a726
147465bc
1552b37c
hex3c0f2a

3936042 has 48 divisors (see below), whose sum is σ = 9442368. Its totient is φ = 1175040.

The previous prime is 3936019. The next prime is 3936043. The reversal of 3936042 is 2406393.

3936042 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 (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3935997 and 3936015.

It is not an unprimeable number, because it can be changed into a prime (3936043) 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, 20298 + ... + 20490.

It is an arithmetic number, because the mean of its divisors is an integer number (196716).

Almost surely, 23936042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3936042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721184).

3936042 is an abundant number, since it is smaller than the sum of its proper divisors (5506326).

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

3936042 is a wasteful number, since it uses less digits than its factorization.

3936042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3936042 is about 1983.9460678154. The cubic root of 3936042 is about 157.8894970542.

The spelling of 3936042 in words is "three million, nine hundred thirty-six thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 193 198 206 309 386 579 618 927 1133 1158 1737 1854 2123 2266 3399 3474 4246 6369 6798 10197 12738 19107 19879 20394 38214 39758 59637 119274 178911 218669 357822 437338 656007 1312014 1968021 3936042