Base | Representation |
---|---|
bin | 111110011110010… |
… | …011000111000000 |
3 | 2201001020112001001 |
4 | 332132103013000 |
5 | 4121310124414 |
6 | 252001021344 |
7 | 34654646356 |
oct | 7636230700 |
9 | 2631215031 |
10 | 1048129984 |
11 | 498707630 |
12 | 253024854 |
13 | 1391bc375 |
14 | 9d2b97d6 |
15 | 6203c074 |
hex | 3e7931c0 |
1048129984 has 112 divisors (see below), whose sum is σ = 2411089920. Its totient is φ = 447068160.
The previous prime is 1048129963. The next prime is 1048129997. The reversal of 1048129984 is 4899218401.
1048129984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698444 + ... + 1699060.
Almost surely, 21048129984 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 1048129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205544960).
1048129984 is an abundant number, since it is smaller than the sum of its proper divisors (1362959936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1048129984 is a wasteful number, since it uses less digits than its factorization.
1048129984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 786 (or 776 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 46.
The square root of 1048129984 is about 32374.8356598146. The cubic root of 1048129984 is about 1015.7926085877.
The spelling of 1048129984 in words is "one billion, forty-eight million, one hundred twenty-nine thousand, nine hundred eighty-four".
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