Base | Representation |
---|---|
bin | 111100111111001… |
… | …1011110110010000 |
3 | 12021121200101221201 |
4 | 1321332123312100 |
5 | 13142340111003 |
6 | 535021400544 |
7 | 101466125200 |
oct | 17176336620 |
9 | 5247611851 |
10 | 2046410128 |
11 | 960166244 |
12 | 491409154 |
13 | 267c76789 |
14 | 155ada400 |
15 | be9cdb1d |
hex | 79f9bd90 |
2046410128 has 60 divisors (see below), whose sum is σ = 4617983820. Its totient is φ = 875943936.
The previous prime is 2046410111. The next prime is 2046410131. The reversal of 2046410128 is 8210146402.
It can be written as a sum of positive squares in 2 ways, for example, as 208744704 + 1837665424 = 14448^2 + 42868^2 .
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a junction number, because it is equal to n+sod(n) for n = 2046410096 and 2046410105.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166500 + ... + 1168252.
It is an arithmetic number, because the mean of its divisors is an integer number (76966397).
Almost surely, 22046410128 is an apocalyptic number.
2046410128 is a gapful number since it is divisible by the number (28) 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 2046410128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308991910).
2046410128 is an abundant number, since it is smaller than the sum of its proper divisors (2571573692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2046410128 is a wasteful number, since it uses less digits than its factorization.
2046410128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3264 (or 3251 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 28.
The square root of 2046410128 is about 45237.2648156362. The cubic root of 2046410128 is about 1269.5921413353.
The spelling of 2046410128 in words is "two billion, forty-six million, four hundred ten thousand, one hundred twenty-eight".
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