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42442344 = 2332784211
BaseRepresentation
bin1010000111100…
…1111001101000
32221212021221200
42201321321220
541331123334
64113404200
71023516420
oct241717150
987767850
1042442344
1121a5961a
1212269660
138a40419
1458cb480
153ad5799
hex2879e68

42442344 has 48 divisors (see below), whose sum is σ = 131370720. Its totient is φ = 12126240.

The previous prime is 42442307. The next prime is 42442349. The reversal of 42442344 is 44324424.

It is a happy number.

42442344 is a `hidden beast` number, since 424 + 4 + 234 + 4 = 666.

42442344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (42442349) 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 11 ways as a sum of consecutive naturals, for example, 41602 + ... + 42609.

It is an arithmetic number, because the mean of its divisors is an integer number (2736890).

Almost surely, 242442344 is an apocalyptic number.

It is an amenable number.

42442344 is an abundant number, since it is smaller than the sum of its proper divisors (88928376).

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

42442344 is a wasteful number, since it uses less digits than its factorization.

42442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84230 (or 84223 counting only the distinct ones).

The product of its digits is 12288, while the sum is 27.

The square root of 42442344 is about 6514.7788911060. The cubic root of 42442344 is about 348.8187223418.

Adding to 42442344 its reverse (44324424), we get a palindrome (86766768).

The spelling of 42442344 in words is "forty-two million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 84211 168422 252633 336844 505266 589477 673688 757899 1010532 1178954 1515798 1768431 2021064 2357908 3031596 3536862 4715816 5305293 6063192 7073724 10610586 14147448 21221172 42442344