Base | Representation |
---|---|
bin | 100011001001… |
… | …0001001100000 |
3 | 1021200001112210 |
4 | 1012102021200 |
5 | 14204040131 |
6 | 1454522120 |
7 | 312414333 |
oct | 106221140 |
9 | 37601483 |
10 | 18424416 |
11 | a44459a |
12 | 6206340 |
13 | 3a8122a |
14 | 263861a |
15 | 193e146 |
hex | 1192260 |
18424416 has 96 divisors (see below), whose sum is σ = 51480576. Its totient is φ = 5760000.
The previous prime is 18424411. The next prime is 18424451. The reversal of 18424416 is 61442481.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18424411) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121941 + ... + 122091.
It is an arithmetic number, because the mean of its divisors is an integer number (536256).
Almost surely, 218424416 is an apocalyptic number.
18424416 is a gapful number since it is divisible by the number (16) 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 18424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740288).
18424416 is an abundant number, since it is smaller than the sum of its proper divisors (33056160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18424416 is a wasteful number, since it uses less digits than its factorization.
18424416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 236 (or 228 counting only the distinct ones).
The product of its digits is 6144, while the sum is 30.
The square root of 18424416 is about 4292.3671790750. The cubic root of 18424416 is about 264.1179454619.
Adding to 18424416 its reverse (61442481), we get a palindrome (79866897).
The spelling of 18424416 in words is "eighteen million, four hundred twenty-four thousand, four hundred sixteen".
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