Base | Representation |
---|---|
bin | 1010001011001000… |
… | …1111111000100000 |
3 | 21001100000022011100 |
4 | 2202302033320200 |
5 | 21043124044443 |
6 | 1131000314400 |
7 | 124451544000 |
oct | 24262177040 |
9 | 7040008140 |
10 | 2731081248 |
11 | 1181695845 |
12 | 642772a00 |
13 | 346a7990c |
14 | 1bca04000 |
15 | 10eb743d3 |
hex | a2c8fe20 |
2731081248 has 144 divisors (see below), whose sum is σ = 9057484800. Its totient is φ = 780280704.
The previous prime is 2731081247. The next prime is 2731081273. The reversal of 2731081248 is 8421801372.
2731081248 is a `hidden beast` number, since 27 + 310 + 81 + 248 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2731081247) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84961 + ... + 112607.
It is an arithmetic number, because the mean of its divisors is an integer number (62899200).
Almost surely, 22731081248 is an apocalyptic number.
2731081248 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 2731081248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).
2731081248 is an abundant number, since it is smaller than the sum of its proper divisors (6326403552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2731081248 is a wasteful number, since it uses less digits than its factorization.
2731081248 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27684 (or 27659 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The square root of 2731081248 is about 52259.7478753964. The cubic root of 2731081248 is about 1397.7994763567.
The spelling of 2731081248 in words is "two billion, seven hundred thirty-one million, eighty-one thousand, two hundred forty-eight".
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