| Base | Representation |
|---|---|
| bin | 1111110111011110… |
| … | …0110100000000000 |
| 3 | 101222211110100110100 |
| 4 | 3331313212200000 |
| 5 | 32210324230024 |
| 6 | 1542345402400 |
| 7 | 210355461360 |
| oct | 37567464000 |
| 9 | 11884410410 |
| 10 | 4259211264 |
| 11 | 1896239510 |
| 12 | 9aa499400 |
| 13 | 52b53a969 |
| 14 | 2c594a9a0 |
| 15 | 19ddc87c9 |
| hex | fdde6800 |
4259211264 has 288 divisors, whose sum is σ = 15341901120. Its totient is φ = 1105920000.
The previous prime is 4259211227. The next prime is 4259211269. The reversal of 4259211264 is 4621129524.
It is a happy number.
4259211264 is a `hidden beast` number, since 4 + 2 + 592 + 1 + 1 + 2 + 64 = 666.
4259211264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
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 (4259211269) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417764 + ... + 1420764.
It is an arithmetic number, because the mean of its divisors is an integer number (53270490).
Almost surely, 24259211264 is an apocalyptic number.
4259211264 is a gapful number since it is divisible by the number (44) 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 4259211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7670950560).
4259211264 is an abundant number, since it is smaller than the sum of its proper divisors (11082689856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4259211264 is a wasteful number, since it uses less digits than its factorization.
4259211264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3047 (or 3024 counting only the distinct ones).
The product of its digits is 34560, while the sum is 36.
The square root of 4259211264 is about 65262.6329839672. The cubic root of 4259211264 is about 1620.9752883582.
The spelling of 4259211264 in words is "four billion, two hundred fifty-nine million, two hundred eleven thousand, two hundred sixty-four".
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