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42385044 = 223132311813
BaseRepresentation
bin1010000110101…
…1111010010100
32221202101100110
42201223322110
541322310134
64112243020
71023160362
oct241537224
987671313
1042385044
1121a1a569
1212240470
138a20310
1458b4632
153ac37e9
hex286be94

42385044 has 48 divisors (see below), whose sum is σ = 111146112. Its totient is φ = 12473472.

The previous prime is 42385043. The next prime is 42385073. The reversal of 42385044 is 44058324.

42385044 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 (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42385043) 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, 2319 + ... + 9494.

It is an arithmetic number, because the mean of its divisors is an integer number (2315544).

Almost surely, 242385044 is an apocalyptic number.

It is an amenable number.

42385044 is an abundant number, since it is smaller than the sum of its proper divisors (68761068).

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

42385044 is a wasteful number, since it uses less digits than its factorization.

42385044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11854 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 42385044 is about 6510.3797124285. The cubic root of 42385044 is about 348.6616754527.

The spelling of 42385044 in words is "forty-two million, three hundred eighty-five thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 11813 23626 35439 47252 70878 141756 153569 271699 307138 460707 543398 614276 815097 921414 1086796 1630194 1842828 3260388 3532087 7064174 10596261 14128348 21192522 42385044