Base | Representation |
---|---|
bin | 1111011110010101000000 |
3 | 21122002022110 |
4 | 33132111000 |
5 | 2014301014 |
6 | 222535320 |
7 | 46323123 |
oct | 17362500 |
9 | 7562273 |
10 | 4056384 |
11 | 2320692 |
12 | 1437540 |
13 | ac0437 |
14 | 7783ba |
15 | 551d59 |
hex | 3de540 |
4056384 has 56 divisors (see below), whose sum is σ = 11041888. Its totient is φ = 1313280.
The previous prime is 4056383. The next prime is 4056389. The reversal of 4056384 is 4836504.
4056384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4056383) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6819 + ... + 7389.
Almost surely, 24056384 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 4056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520944).
4056384 is an abundant number, since it is smaller than the sum of its proper divisors (6985504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4056384 is a wasteful number, since it uses less digits than its factorization.
4056384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 623 (or 613 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 30.
The square root of 4056384 is about 2014.0466727462. The cubic root of 4056384 is about 159.4824946476.
It can be divided in two parts, 4056 and 384, that multiplied together give a square (1557504 = 12482).
The spelling of 4056384 in words is "four million, fifty-six thousand, three hundred eighty-four".
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