Base | Representation |
---|---|
bin | 111111001111110000000 |
3 | 10220021212100 |
4 | 13321332000 |
5 | 1012304243 |
6 | 112230400 |
7 | 23421060 |
oct | 7717600 |
9 | 3807770 |
10 | 2072448 |
11 | 1196074 |
12 | 83b400 |
13 | 577401 |
14 | 3bd3a0 |
15 | 2ae0d3 |
hex | 1f9f80 |
2072448 has 96 divisors (see below), whose sum is σ = 6842160. Its totient is φ = 589824.
The previous prime is 2072437. The next prime is 2072467. The reversal of 2072448 is 8442702.
2072448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7936 + ... + 8192.
22072448 is an apocalyptic number.
2072448 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 2072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421080).
2072448 is an abundant number, since it is smaller than the sum of its proper divisors (4769712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2072448 is a wasteful number, since it uses less digits than its factorization.
2072448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 284 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 3584, while the sum is 27.
The square root of 2072448 is about 1439.5999444290. The cubic root of 2072448 is about 127.4954092926.
The spelling of 2072448 in words is "two million, seventy-two thousand, four hundred forty-eight".
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