Base | Representation |
---|---|
bin | 1010000100010… |
… | …0100110000100 |
3 | 2221110012110000 |
4 | 2201010212010 |
5 | 41302132004 |
6 | 4105001300 |
7 | 1021620024 |
oct | 241044604 |
9 | 87405400 |
10 | 42224004 |
11 | 2191a579 |
12 | 12183230 |
13 | 8994c24 |
14 | 5871a84 |
15 | 3a90c39 |
hex | 2844984 |
42224004 has 75 divisors (see below), whose sum is σ = 116514167. Its totient is φ = 13333896.
The previous prime is 42223997. The next prime is 42224033. The reversal of 42224004 is 40042224.
The square root of 42224004 is 6498.
It is a perfect power (a square), and thus also a powerful number.
42224004 is a `hidden beast` number, since 422 + 240 + 0 + 4 = 666.
It is an ABA number since it can be written as A⋅BA, here for A=4, B=57.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2222307 + ... + 2222325.
Almost surely, 242224004 is an apocalyptic number.
42224004 is the 6498-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42224004
42224004 is an abundant number, since it is smaller than the sum of its proper divisors (74290163).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42224004 is an frugal number, since it uses more digits than its factorization.
42224004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 92 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The cubic root of 42224004 is about 348.2195404245.
Adding to 42224004 its reverse (40042224), we get a palindrome (82266228).
The spelling of 42224004 in words is "forty-two million, two hundred twenty-four thousand, four".
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