Base | Representation |
---|---|
bin | 100110101110000… |
… | …111101001000000 |
3 | 1200021101022202220 |
4 | 212232013221000 |
5 | 2312300433003 |
6 | 144243411040 |
7 | 22045466616 |
oct | 4656075100 |
9 | 1607338686 |
10 | 649624128 |
11 | 30377224a |
12 | 161683a80 |
13 | a4781b9a |
14 | 623c36b6 |
15 | 3c071353 |
hex | 26b87a40 |
649624128 has 112 divisors (see below), whose sum is σ = 1882932480. Its totient is φ = 196747264.
The previous prime is 649624123. The next prime is 649624139. The reversal of 649624128 is 821426946.
It is a self number, because there is not a number n which added to its sum of digits gives 649624128.
It is not an unprimeable number, because it can be changed into a prime (649624123) 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 15 ways as a sum of consecutive naturals, for example, 91225 + ... + 98087.
Almost surely, 2649624128 is an apocalyptic number.
649624128 is a gapful number since it is divisible by the number (68) 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 649624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941466240).
649624128 is an abundant number, since it is smaller than the sum of its proper divisors (1233308352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
649624128 is a wasteful number, since it uses less digits than its factorization.
649624128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6924 (or 6914 counting only the distinct ones).
The product of its digits is 165888, while the sum is 42.
The square root of 649624128 is about 25487.7250455979. The cubic root of 649624128 is about 866.0721013382.
The spelling of 649624128 in words is "six hundred forty-nine million, six hundred twenty-four thousand, one hundred twenty-eight".
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