| Base | Representation |
|---|---|
| bin | 1111101110011011… |
| … | …0110010001000000 |
| 3 | 101220012001110220200 |
| 4 | 3323212312101000 |
| 5 | 32121120434320 |
| 6 | 1534512205200 |
| 7 | 206415105633 |
| oct | 37346662100 |
| 9 | 11805043820 |
| 10 | 4221264960 |
| 11 | 1876880930 |
| 12 | 999839800 |
| 13 | 523712b23 |
| 14 | 2c08adc1a |
| 15 | 19a8d0290 |
| hex | fb9b6440 |
4221264960 has 336 divisors, whose sum is σ = 16675364160. Its totient is φ = 969338880.
The previous prime is 4221264959. The next prime is 4221264967. The reversal of 4221264960 is 694621224.
4221264960 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 2 + 649 + 6 + 0 = 666.
4221264960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (4221264967) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598414 + ... + 605426.
It is an arithmetic number, because the mean of its divisors is an integer number (49629060).
Almost surely, 24221264960 is an apocalyptic number.
4221264960 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 4221264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337682080).
4221264960 is an abundant number, since it is smaller than the sum of its proper divisors (12454099200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4221264960 is a wasteful number, since it uses less digits than its factorization.
4221264960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7066 (or 7053 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 4221264960 is about 64971.2625704626. The cubic root of 4221264960 is about 1616.1470391971.
It can be divided in two parts, 4221264 and 960, that added together give a palindrome (4222224).
The spelling of 4221264960 in words is "four billion, two hundred twenty-one million, two hundred sixty-four thousand, nine hundred sixty".
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