Base | Representation |
---|---|
bin | 111110000111… |
… | …001101100000 |
3 | 1010122020100020 |
4 | 332013031200 |
5 | 13132014324 |
6 | 1340553440 |
7 | 255253512 |
oct | 76071540 |
9 | 33566306 |
10 | 16282464 |
11 | 9211290 |
12 | 5552880 |
13 | 34b12c3 |
14 | 223bbb2 |
15 | 1669679 |
hex | f87360 |
16282464 has 96 divisors (see below), whose sum is σ = 49424256. Its totient is φ = 4638720.
The previous prime is 16282463. The next prime is 16282489. The reversal of 16282464 is 46428261.
16282464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×162824642 = 530237267822592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (33).
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 (16282463) 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, 17499 + ... + 18405.
It is an arithmetic number, because the mean of its divisors is an integer number (514836).
Almost surely, 216282464 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 16282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24712128).
16282464 is an abundant number, since it is smaller than the sum of its proper divisors (33141792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16282464 is a wasteful number, since it uses less digits than its factorization.
16282464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 948 (or 940 counting only the distinct ones).
The product of its digits is 18432, while the sum is 33.
The square root of 16282464 is about 4035.1535286777. The cubic root of 16282464 is about 253.4584116114.
The spelling of 16282464 in words is "sixteen million, two hundred eighty-two thousand, four hundred sixty-four".
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