Base | Representation |
---|---|
bin | 111110001001… |
… | …000000000000 |
3 | 1010122121101122 |
4 | 332021000000 |
5 | 13132233132 |
6 | 1341051412 |
7 | 255314051 |
oct | 76110000 |
9 | 33577348 |
10 | 16289792 |
11 | 9216842 |
12 | 5556b68 |
13 | 34b473c |
14 | 2240728 |
15 | 166b912 |
hex | f89000 |
16289792 has 52 divisors (see below), whose sum is σ = 33714156. Its totient is φ = 7864320.
The previous prime is 16289789. The next prime is 16289797. The reversal of 16289792 is 29798261.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 12845056 = 1856^2 + 3584^2 .
Its product of digits (108864) is a multiple of the sum of its prime factors (162).
It is a nialpdrome in base 8.
It is not an unprimeable number, because it can be changed into a prime (16289797) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167888 + ... + 167984.
Almost surely, 216289792 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 16289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857078).
16289792 is an abundant number, since it is smaller than the sum of its proper divisors (17424364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16289792 is an frugal number, since it uses more digits than its factorization.
16289792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 140 counting only the distinct ones).
The product of its digits is 108864, while the sum is 44.
The square root of 16289792 is about 4036.0614465095. The cubic root of 16289792 is about 253.4964292946.
The spelling of 16289792 in words is "sixteen million, two hundred eighty-nine thousand, seven hundred ninety-two".
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