Base | Representation |
---|---|
bin | 1010000100100… |
… | …1010101110100 |
3 | 2221111012010000 |
4 | 2201021111310 |
5 | 41303242234 |
6 | 4105231300 |
7 | 1022030505 |
oct | 241112564 |
9 | 87435100 |
10 | 42243444 |
11 | 21933141 |
12 | 12192530 |
13 | 89a0a29 |
14 | 5878bac |
15 | 3a96899 |
hex | 2849574 |
42243444 has 60 divisors (see below), whose sum is σ = 111095908. Its totient is φ = 13996800.
The previous prime is 42243413. The next prime is 42243497. The reversal of 42243444 is 44434224.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 24502500 + 17740944 = 4950^2 + 4212^2 .
It is a super-2 number, since 2×422434442 = 3569017121962272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 77814 + ... + 78354.
Almost surely, 242243444 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42243444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55547954).
42243444 is an abundant number, since it is smaller than the sum of its proper divisors (68852464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42243444 is a wasteful number, since it uses less digits than its factorization.
42243444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 798 (or 787 counting only the distinct ones).
The product of its digits is 12288, while the sum is 27.
The square root of 42243444 is about 6499.4956727426. The cubic root of 42243444 is about 348.2729725059.
Adding to 42243444 its reverse (44434224), we get a palindrome (86677668).
The spelling of 42243444 in words is "forty-two million, two hundred forty-three thousand, four hundred forty-four".
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