Base | Representation |
---|---|
bin | 111101000010010… |
… | …1110100101010000 |
3 | 12021201210012210000 |
4 | 1322010232211100 |
5 | 13143300402403 |
6 | 535121010000 |
7 | 101516135421 |
oct | 17204564520 |
9 | 5251705700 |
10 | 2048059728 |
11 | 961092650 |
12 | 491a83900 |
13 | 268403580 |
14 | 156009648 |
15 | bec077a3 |
hex | 7a12e950 |
2048059728 has 400 divisors, whose sum is σ = 7153667136. Its totient is φ = 557383680.
The previous prime is 2048059703. The next prime is 2048059747. The reversal of 2048059728 is 8279508402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7968976 + ... + 7969232.
Almost surely, 22048059728 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 2048059728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576833568).
2048059728 is an abundant number, since it is smaller than the sum of its proper divisors (5105607408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2048059728 is a wasteful number, since it uses less digits than its factorization.
2048059728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 344 (or 329 counting only the distinct ones).
The product of its (nonzero) digits is 322560, while the sum is 45.
The square root of 2048059728 is about 45255.4938985313. The cubic root of 2048059728 is about 1269.9331868048.
It can be divided in two parts, 20480 and 59728, that added together give a palindrome (80208).
The spelling of 2048059728 in words is "two billion, forty-eight million, fifty-nine thousand, seven hundred twenty-eight".
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