Base | Representation |
---|---|
bin | 111100100010000000000 |
3 | 10201202211112 |
4 | 13210100000 |
5 | 1001432423 |
6 | 110302452 |
7 | 22600523 |
oct | 7442000 |
9 | 3652745 |
10 | 1983488 |
11 | 1135251 |
12 | 7b7a28 |
13 | 545a80 |
14 | 398bba |
15 | 292a78 |
hex | 1e4400 |
1983488 has 44 divisors (see below), whose sum is σ = 4298700. Its totient is φ = 909312.
The previous prime is 1983479. The next prime is 1983491. The reversal of 1983488 is 8843891.
1983488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 1721344 = 512^2 + 1312^2 .
It is a super-2 number, since 2×19834882 = 7868449292288, which contains 22 as substring.
It is a nialpdrome in base 8.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13238 + ... + 13386.
21983488 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 1983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149350).
1983488 is an abundant number, since it is smaller than the sum of its proper divisors (2315212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1983488 is a wasteful number, since it uses less digits than its factorization.
1983488 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 182 (or 164 counting only the distinct ones).
The product of its digits is 55296, while the sum is 41.
The square root of 1983488 is about 1408.3635894186. The cubic root of 1983488 is about 125.6444161140.
The spelling of 1983488 in words is "one million, nine hundred eighty-three thousand, four hundred eighty-eight".
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