Base | Representation |
---|---|
bin | 1010000011000… |
… | …0111011000000 |
3 | 2221022002220120 |
4 | 2200300323000 |
5 | 41242042144 |
6 | 4103140240 |
7 | 1021133061 |
oct | 240607300 |
9 | 87262816 |
10 | 42143424 |
11 | 21874a84 |
12 | 12144680 |
13 | 896734b |
14 | 5850568 |
15 | 3a76e19 |
hex | 2830ec0 |
42143424 has 56 divisors (see below), whose sum is σ = 112166400. Its totient is φ = 13964544.
The previous prime is 42143417. The next prime is 42143441. The reversal of 42143424 is 42434124.
It is a happy number.
It is a super-3 number, since 3×421434243 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
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 = 42143394 and 42143403.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37657 + ... + 38759.
Almost surely, 242143424 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 42143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56083200).
42143424 is an abundant number, since it is smaller than the sum of its proper divisors (70022976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42143424 is a wasteful number, since it uses less digits than its factorization.
42143424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).
The product of its digits is 3072, while the sum is 24.
The square root of 42143424 is about 6491.7966696439. The cubic root of 42143424 is about 347.9978861016.
Adding to 42143424 its reverse (42434124), we get a palindrome (84577548).
The spelling of 42143424 in words is "forty-two million, one hundred forty-three thousand, four hundred twenty-four".
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