Base | Representation |
---|---|
bin | 111110101110… |
… | …011001000010 |
3 | 1010221101111000 |
4 | 332232121002 |
5 | 13202133241 |
6 | 1344232430 |
7 | 256522422 |
oct | 76563102 |
9 | 33841430 |
10 | 16442946 |
11 | 9310913 |
12 | 560b716 |
13 | 3539370 |
14 | 2280482 |
15 | 169beb6 |
hex | fae642 |
16442946 has 64 divisors (see below), whose sum is σ = 40118400. Its totient is φ = 4961088.
The previous prime is 16442941. The next prime is 16442947. The reversal of 16442946 is 64924461.
16442946 is a `hidden beast` number, since 1 + 644 + 2 + 9 + 4 + 6 = 666.
It is a super-3 number, since 3×164429463 (a number of 23 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 16442946.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16442941) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41220 + ... + 41616.
It is an arithmetic number, because the mean of its divisors is an integer number (626850).
Almost surely, 216442946 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 16442946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059200).
16442946 is an abundant number, since it is smaller than the sum of its proper divisors (23675454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16442946 is a wasteful number, since it uses less digits than its factorization.
16442946 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 480 (or 474 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 16442946 is about 4054.9902589279. The cubic root of 16442946 is about 254.2883966689.
The spelling of 16442946 in words is "sixteen million, four hundred forty-two thousand, nine hundred forty-six".
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