| Base | Representation |
|---|---|
| bin | 11111011111110… |
| … | …01101110000000 |
| 3 | 200102011112102110 |
| 4 | 33233321232000 |
| 5 | 1020114343144 |
| 6 | 42115015320 |
| 7 | 6355536234 |
| oct | 1757715600 |
| 9 | 612145373 |
| 10 | 264215424 |
| 11 | 126162a60 |
| 12 | 7459a540 |
| 13 | 4297bbb5 |
| 14 | 2713a5c4 |
| 15 | 182e10b9 |
| hex | fbf9b80 |
264215424 has 128 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 78848000.
The previous prime is 264215423. The next prime is 264215431. The reversal of 264215424 is 424512462.
264215424 = 2972 + 2982 + ... + 9352.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 264215391 and 264215400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264215423) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299464 + ... + 300344.
It is an arithmetic number, because the mean of its divisors is an integer number (6072570).
Almost surely, 2264215424 is an apocalyptic number.
264215424 is a gapful number since it is divisible by the number (24) 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 264215424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).
264215424 is an abundant number, since it is smaller than the sum of its proper divisors (513073536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264215424 is a wasteful number, since it uses less digits than its factorization.
264215424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 980 (or 968 counting only the distinct ones).
The product of its digits is 15360, while the sum is 30.
The square root of 264215424 is about 16254.7046728017. The cubic root of 264215424 is about 641.6813084270.
Adding to 264215424 its reverse (424512462), we get a palindrome (688727886).
The spelling of 264215424 in words is "two hundred sixty-four million, two hundred fifteen thousand, four hundred twenty-four".
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