Base | Representation |
---|---|
bin | 1111101110001… |
… | …0011101000000 |
3 | 11121002001122222 |
4 | 3323202131000 |
5 | 113340024024 |
6 | 10313150212 |
7 | 1430321516 |
oct | 373423500 |
9 | 147061588 |
10 | 65939264 |
11 | 34248166 |
12 | 1a0bb368 |
13 | 10879421 |
14 | 8a864b6 |
15 | 5bc785e |
hex | 3ee2740 |
65939264 has 28 divisors (see below), whose sum is σ = 132156708. Its totient is φ = 32643200.
The previous prime is 65939239. The next prime is 65939273. The reversal of 65939264 is 46293956.
The cubic root of 65939264 is 404.
It is a perfect power (a cube), and thus also a powerful number.
65939264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 60217600 + 5721664 = 7760^2 + 2392^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 652814 + ... + 652914.
Almost surely, 265939264 is an apocalyptic number.
65939264 is a gapful number since it is divisible by the number (64) 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 65939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66078354).
65939264 is an abundant number, since it is smaller than the sum of its proper divisors (66217444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65939264 is an frugal number, since it uses more digits than its factorization.
65939264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 315 (or 103 counting only the distinct ones).
The product of its digits is 349920, while the sum is 44.
The square root of 65939264 is about 8120.2995018657.
The spelling of 65939264 in words is "sixty-five million, nine hundred thirty-nine thousand, two hundred sixty-four".
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