Base | Representation |
---|---|
bin | 1000010000110100… |
… | …00000000000000000 |
3 | 102110011010012001202 |
4 | 10020122000000000 |
5 | 33041104011033 |
6 | 2012102520332 |
7 | 214633245563 |
oct | 41032000000 |
9 | 12404105052 |
10 | 4436000768 |
11 | 1977009041 |
12 | a397360a8 |
13 | 559059434 |
14 | 30120a4da |
15 | 1ae69a8e8 |
hex | 108680000 |
4436000768 has 40 divisors (see below), whose sum is σ = 8873041650. Its totient is φ = 2217738240.
The previous prime is 4436000743. The next prime is 4436000771. The reversal of 4436000768 is 8670006344.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 3114532864 + 1321467904 = 55808^2 + 36352^2 .
It is an unprimeable number.
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 as a sum of consecutive naturals, namely, 520058 + ... + 528518.
Almost surely, 24436000768 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 4436000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436520825).
4436000768 is an abundant number, since it is smaller than the sum of its proper divisors (4437040882).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4436000768 is an frugal number, since it uses more digits than its factorization.
4436000768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8499 (or 8463 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 38.
The square root of 4436000768 is about 66603.3089868664. The cubic root of 4436000768 is about 1643.0995279868.
The spelling of 4436000768 in words is "four billion, four hundred thirty-six million, seven hundred sixty-eight", and thus it is an aban number.
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