Base | Representation |
---|---|
bin | 1010000110011… |
… | …0110110111000 |
3 | 2221201022221210 |
4 | 2201212312320 |
5 | 41321124334 |
6 | 4112003120 |
7 | 1023043131 |
oct | 241466670 |
9 | 87638853 |
10 | 42364344 |
11 | 21a05a60 |
12 | 122304a0 |
13 | 8a13a79 |
14 | 58aac88 |
15 | 3abc5e9 |
hex | 2866db8 |
42364344 has 64 divisors (see below), whose sum is σ = 120579840. Its totient is φ = 12277760.
The previous prime is 42364339. The next prime is 42364379. The reversal of 42364344 is 44346324.
42364344 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 a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 2584 + ... + 9560.
It is an arithmetic number, because the mean of its divisors is an integer number (1884060).
Almost surely, 242364344 is an apocalyptic number.
42364344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42364344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60289920).
42364344 is an abundant number, since it is smaller than the sum of its proper divisors (78215496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42364344 is a wasteful number, since it uses less digits than its factorization.
42364344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7020 (or 7016 counting only the distinct ones).
The product of its digits is 27648, while the sum is 30.
The square root of 42364344 is about 6508.7897492545. The cubic root of 42364344 is about 348.6049064351.
The spelling of 42364344 in words is "forty-two million, three hundred sixty-four thousand, three hundred forty-four".
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