Base | Representation |
---|---|
bin | 1000000000000000… |
… | …0000000000000000 |
3 | 12112122212110202102 |
4 | 2000000000000000 |
5 | 13344223434043 |
6 | 553032005532 |
7 | 104134211162 |
oct | 20000000000 |
9 | 5478773672 |
10 | 2147483648 |
11 | a02220282 |
12 | 4bb2308a8 |
13 | 282ba4aab |
14 | 1652ca932 |
15 | c87e66b8 |
hex | 80000000 |
2147483648 has 32 divisors (see below), whose sum is σ = 4294967295. Its totient is φ = 1073741824.
The previous prime is 2147483647. The next prime is 2147483659. The reversal of 2147483648 is 8463847412.
It is a perfect power (a 31-st power), and thus also a powerful number.
It is a Jordan-Polya number, since it can be written as (2!)31.
It can be written as a sum of positive squares in only one way, i.e., 1073741824 + 1073741824 = 32768^2 + 32768^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=32768.
It is a super-2 number, since 2×21474836482 = 9223372036854775808, which contains 22 as substring.
It is a Duffinian number.
Its product of digits (1032192) is a multiple of the sum of its prime divisors (2).
It is an enlightened number because it begins with the concatenation of its prime factors (2).
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is not an unprimeable number, because it can be changed into a prime (2147483647) by changing a digit.
In principle, a polygon with 2147483648 sides can be constructed with ruler and compass.
It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.
Almost surely, 22147483648 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 2147483648
2147483648 is a deficient number, since it is larger than the sum of its proper divisors (2147483647).
2147483648 is an frugal number, since it uses more digits than its factorization.
2147483648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62 (or 2 counting only the distinct ones).
The product of its digits is 1032192, while the sum is 47.
The square root of 2147483648 is about 46340.9500118416. The cubic root of 2147483648 is about 1290.1591550924.
The spelling of 2147483648 in words is "two billion, one hundred forty-seven million, four hundred eighty-three thousand, six hundred forty-eight".
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