Base | Representation |
---|---|
bin | 1111110001000101… |
… | …1111100001100000 |
3 | 101220222002102200012 |
4 | 3330101133201200 |
5 | 32132001202000 |
6 | 1535551544052 |
7 | 206612115611 |
oct | 37421374140 |
9 | 11828072605 |
10 | 4232444000 |
11 | 1882116904 |
12 | 9a152b028 |
13 | 525b28245 |
14 | 2c217dc08 |
15 | 19b88c735 |
hex | fc45f860 |
4232444000 has 144 divisors (see below), whose sum is σ = 10647262080. Its totient is φ = 1653497600.
The previous prime is 4232443993. The next prime is 4232444057. The reversal of 4232444000 is 4442324.
4232444000 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 an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8835761 + ... + 8836239.
It is an arithmetic number, because the mean of its divisors is an integer number (73939320).
Almost surely, 24232444000 is an apocalyptic number.
4232444000 is a gapful number since it is divisible by the number (40) 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 4232444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323631040).
4232444000 is an abundant number, since it is smaller than the sum of its proper divisors (6414818080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4232444000 is an equidigital number, since it uses as much as digits as its factorization.
4232444000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 598 (or 533 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 23.
The square root of 4232444000 is about 65057.2363384735. The cubic root of 4232444000 is about 1617.5724450304.
Adding to 4232444000 its reverse (4442324), we get a palindrome (4236886324).
The spelling of 4232444000 in words is "four billion, two hundred thirty-two million, four hundred forty-four thousand".
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