Base | Representation |
---|---|
bin | 1111010110011… |
… | …0101100100000 |
3 | 11111011000221022 |
4 | 3311212230200 |
5 | 112440240101 |
6 | 10215545012 |
7 | 1411152542 |
oct | 365465440 |
9 | 144130838 |
10 | 64383776 |
11 | 33385536 |
12 | 1968b168 |
13 | 10453412 |
14 | 879d692 |
15 | 59bba1b |
hex | 3d66b20 |
64383776 has 48 divisors (see below), whose sum is σ = 134120448. Its totient is φ = 30374400.
The previous prime is 64383773. The next prime is 64383797. The reversal of 64383776 is 67738346.
64383776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×643837762 = 8290541224036352, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64383773) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 39881 + ... + 41463.
It is an arithmetic number, because the mean of its divisors is an integer number (2794176).
Almost surely, 264383776 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 64383776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060224).
64383776 is an abundant number, since it is smaller than the sum of its proper divisors (69736672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64383776 is a wasteful number, since it uses less digits than its factorization.
64383776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1665 (or 1657 counting only the distinct ones).
The product of its digits is 508032, while the sum is 44.
The square root of 64383776 is about 8023.9501493965. The cubic root of 64383776 is about 400.7979405023.
The spelling of 64383776 in words is "sixty-four million, three hundred eighty-three thousand, seven hundred seventy-six".
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