Base | Representation |
---|---|
bin | 1010000110011… |
… | …1010101110100 |
3 | 2221201102200010 |
4 | 2201213111310 |
5 | 41321210244 |
6 | 4112020220 |
7 | 1023051660 |
oct | 241472564 |
9 | 87642603 |
10 | 42366324 |
11 | 21a074a0 |
12 | 12231670 |
13 | 8a14940 |
14 | 58ab8a0 |
15 | 3abceb9 |
hex | 2867574 |
42366324 has 96 divisors (see below), whose sum is σ = 132765696. Its totient is φ = 10154880.
The previous prime is 42366323. The next prime is 42366341.
It is a happy number.
42366324 is nontrivially palindromic in base 10.
42366324 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 junction number, because it is equal to n+sod(n) for n = 42366291 and 42366300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42366323) 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 31 ways as a sum of consecutive naturals, for example, 10249 + ... + 13775.
It is an arithmetic number, because the mean of its divisors is an integer number (1382976).
Almost surely, 242366324 is an apocalyptic number.
42366324 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 42366324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66382848).
42366324 is an abundant number, since it is smaller than the sum of its proper divisors (90399372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42366324 is a wasteful number, since it uses less digits than its factorization.
42366324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3565 (or 3563 counting only the distinct ones).
The product of its digits is 20736, while the sum is 30.
The square root of 42366324 is about 6508.9418494868. The cubic root of 42366324 is about 348.6103373147.
The spelling of 42366324 in words is "forty-two million, three hundred sixty-six thousand, three hundred twenty-four".
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