Base | Representation |
---|---|
bin | 1111011101101… |
… | …0001010100000 |
3 | 11112001001201100 |
4 | 3313122022200 |
5 | 113100403421 |
6 | 10234034400 |
7 | 1415162460 |
oct | 367321240 |
9 | 145031640 |
10 | 64856736 |
11 | 3367890a |
12 | 19878a00 |
13 | 1058a789 |
14 | 8883ba0 |
15 | 5a61c26 |
hex | 3dda2a0 |
64856736 has 144 divisors (see below), whose sum is σ = 215115264. Its totient is φ = 18150912.
The previous prime is 64856723. The next prime is 64856749. The reversal of 64856736 is 63765846.
64856736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (64856723) and next prime (64856749).
It is a tau number, because it is divible by the number of its divisors (144).
Its product of digits (725760) is a multiple of the sum of its prime divisors (672).
It is a junction number, because it is equal to n+sod(n) for n = 64856691 and 64856700.
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 23 ways as a sum of consecutive naturals, for example, 106545 + ... + 107151.
It is an arithmetic number, because the mean of its divisors is an integer number (1493856).
Almost surely, 264856736 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 64856736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).
64856736 is an abundant number, since it is smaller than the sum of its proper divisors (150258528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64856736 is a wasteful number, since it uses less digits than its factorization.
64856736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 683 (or 672 counting only the distinct ones).
The product of its digits is 725760, while the sum is 45.
The square root of 64856736 is about 8053.3679910954. The cubic root of 64856736 is about 401.7769610013.
The spelling of 64856736 in words is "sixty-four million, eight hundred fifty-six thousand, seven hundred thirty-six".
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