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42441444 = 223211310433
BaseRepresentation
bin1010000111100…
…1101011100100
32221212020201100
42201321223210
541331111234
64113400100
71023513663
oct241715344
987766640
1042441444
1121a58981
1212269030
138a3cba6
1458cadda
153ad5399
hex2879ae4

42441444 has 36 divisors (see below), whose sum is σ = 108242316. Its totient is φ = 14020608.

The previous prime is 42441403. The next prime is 42441461. The reversal of 42441444 is 44414424.

42441444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 31472100 = 3312^2 + 5610^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1149 + ... + 9284.

It is an arithmetic number, because the mean of its divisors is an integer number (3006731).

Almost surely, 242441444 is an apocalyptic number.

It is an amenable number.

42441444 is an abundant number, since it is smaller than the sum of its proper divisors (65800872).

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

42441444 is a wasteful number, since it uses less digits than its factorization.

42441444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10551 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 42441444 is about 6514.7098170218. The cubic root of 42441444 is about 348.8162567297.

Adding to 42441444 its reverse (44414424), we get a palindrome (86855868).

The spelling of 42441444 in words is "forty-two million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 10433 20866 31299 41732 62598 93897 125196 187794 375588 1178929 2357858 3536787 4715716 7073574 10610361 14147148 21220722 42441444