Base | Representation |
---|---|
bin | 10000010101100000000000 |
3 | 22001120022020 |
4 | 100111200000 |
5 | 2044013433 |
6 | 231441440 |
7 | 51254016 |
oct | 20254000 |
9 | 8046266 |
10 | 4282368 |
11 | 2465452 |
12 | 1526280 |
13 | b6c25c |
14 | 7d68b6 |
15 | 598cb3 |
hex | 415800 |
4282368 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1310720.
The previous prime is 4282367. The next prime is 4282373. The reversal of 4282368 is 8632824.
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 (4282367) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104428 + ... + 104468.
Almost surely, 24282368 is an apocalyptic number.
4282368 is a gapful number since it is divisible by the number (48) 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 4282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).
4282368 is an abundant number, since it is smaller than the sum of its proper divisors (8100912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4282368 is a wasteful number, since it uses less digits than its factorization.
4282368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83 (or 63 counting only the distinct ones).
The product of its digits is 18432, while the sum is 33.
The square root of 4282368 is about 2069.3883154208. The cubic root of 4282368 is about 162.3907652461.
The spelling of 4282368 in words is "four million, two hundred eighty-two thousand, three hundred sixty-eight".
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