Base | Representation |
---|---|
bin | 100110100111111… |
… | …100100100001100 |
3 | 1200011100002222112 |
4 | 212213330210030 |
5 | 2311342142100 |
6 | 144145003152 |
7 | 22025650013 |
oct | 4647744414 |
9 | 1604302875 |
10 | 648005900 |
11 | 302867473 |
12 | 1610234b8 |
13 | a4336459 |
14 | 620c1a7a |
15 | 3bd51b35 |
hex | 269fc90c |
648005900 has 72 divisors (see below), whose sum is σ = 1439064144. Its totient is φ = 253216000.
The previous prime is 648005893. The next prime is 648005921. The reversal of 648005900 is 9500846.
648005900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837914 + ... + 838686.
It is an arithmetic number, because the mean of its divisors is an integer number (19987002).
Almost surely, 2648005900 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 648005900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719532072).
648005900 is an abundant number, since it is smaller than the sum of its proper divisors (791058244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
648005900 is a wasteful number, since it uses less digits than its factorization.
648005900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 971 (or 964 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 32.
The square root of 648005900 is about 25455.9600093966. The cubic root of 648005900 is about 865.3523684951.
The spelling of 648005900 in words is "six hundred forty-eight million, five thousand, nine hundred".
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