Base | Representation |
---|---|
bin | 1111101000001110000000 |
3 | 21201010212220 |
4 | 33220032000 |
5 | 2022100041 |
6 | 223451040 |
7 | 46552206 |
oct | 17501600 |
9 | 7633786 |
10 | 4096896 |
11 | 2349071 |
12 | 1456a80 |
13 | b059cb |
14 | 789076 |
15 | 55dd66 |
hex | 3e8380 |
4096896 has 64 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 1330688.
The previous prime is 4096891. The next prime is 4096927. The reversal of 4096896 is 6986904.
It is a tau number, because it is divible by the number of its divisors (64).
It is a zygodrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4096891) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17935 + ... + 18161.
It is an arithmetic number, because the mean of its divisors is an integer number (174420).
Almost surely, 24096896 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 4096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).
4096896 is an abundant number, since it is smaller than the sum of its proper divisors (7065984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4096896 is a wasteful number, since it uses less digits than its factorization.
4096896 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 291 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 42.
The square root of 4096896 is about 2024.0790498397. The cubic root of 4096896 is about 160.0116658161.
The spelling of 4096896 in words is "four million, ninety-six thousand, eight hundred ninety-six".
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