Base | Representation |
---|---|
bin | 1111011001000… |
… | …1101110100000 |
3 | 11111110222201022 |
4 | 3312101232200 |
5 | 113011410112 |
6 | 10223425012 |
7 | 1412515445 |
oct | 366215640 |
9 | 144428638 |
10 | 64560032 |
11 | 334959a9 |
12 | 19755168 |
13 | 104b5704 |
14 | 88079cc |
15 | 5a03d72 |
hex | 3d91ba0 |
64560032 has 48 divisors (see below), whose sum is σ = 133426440. Its totient is φ = 30707712.
The previous prime is 64560007. The next prime is 64560037. The reversal of 64560032 is 23006546.
64560032 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 4 ways, for example, as 55294096 + 9265936 = 7436^2 + 3044^2 .
It is a junction number, because it is equal to n+sod(n) for n = 64559983 and 64560010.
It is not an unprimeable number, because it can be changed into a prime (64560037) 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, 67268 + ... + 68220.
Almost surely, 264560032 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 64560032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66713220).
64560032 is an abundant number, since it is smaller than the sum of its proper divisors (68866408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64560032 is a wasteful number, since it uses less digits than its factorization.
64560032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 26.
The square root of 64560032 is about 8034.9257619470. The cubic root of 64560032 is about 401.1633466149.
Adding to 64560032 its reverse (23006546), we get a palindrome (87566578).
The spelling of 64560032 in words is "sixty-four million, five hundred sixty thousand, thirty-two".
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