Base | Representation |
---|---|
bin | 111110101110… |
… | …101001101000 |
3 | 1010221102221100 |
4 | 332232221220 |
5 | 13202202013 |
6 | 1344241400 |
7 | 256525500 |
oct | 76565150 |
9 | 33842840 |
10 | 16444008 |
11 | 9311699 |
12 | 5610260 |
13 | 35399a9 |
14 | 2280a00 |
15 | 169c473 |
hex | faea68 |
16444008 has 144 divisors (see below), whose sum is σ = 53352000. Its totient is φ = 4560192.
The previous prime is 16444007. The next prime is 16444019. The reversal of 16444008 is 80044461.
It is a super-3 number, since 3×164440083 (a number of 23 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (16444003) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208113 + ... + 208191.
It is an arithmetic number, because the mean of its divisors is an integer number (370500).
Almost surely, 216444008 is an apocalyptic number.
16444008 is a gapful number since it is divisible by the number (18) 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 16444008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26676000).
16444008 is an abundant number, since it is smaller than the sum of its proper divisors (36907992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16444008 is a wasteful number, since it uses less digits than its factorization.
16444008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 164 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 16444008 is about 4055.1212065732. The cubic root of 16444008 is about 254.2938711230.
Adding to 16444008 its reverse (80044461), we get a palindrome (96488469).
The spelling of 16444008 in words is "sixteen million, four hundred forty-four thousand, eight".
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