Base | Representation |
---|---|
bin | 100111000000… |
… | …0010011100100 |
3 | 1102110220001021 |
4 | 1032000103210 |
5 | 20213322414 |
6 | 2010140524 |
7 | 335544400 |
oct | 116002344 |
9 | 42426037 |
10 | 20448484 |
11 | 105a7281 |
12 | 6a21744 |
13 | 430c5c4 |
14 | 2a04100 |
15 | 1bddc24 |
hex | 13804e4 |
20448484 has 81 divisors (see below), whose sum is σ = 46669833. Its totient is φ = 7814016.
The previous prime is 20448469. The next prime is 20448511. The reversal of 20448484 is 48484402.
The square root of 20448484 is 4522.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 15920100 + 4528384 = 3990^2 + 2128^2 .
It is a Harshad number since it is a multiple of its sum of digits (34).
20448484 is a modest number, since divided by 8484 gives 2044 as remainder.
It is a zygodrome in base 7.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1076227 + ... + 1076245.
Almost surely, 220448484 is an apocalyptic number.
20448484 is the 4522-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20448484
20448484 is an abundant number, since it is smaller than the sum of its proper divisors (26221349).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20448484 is a wasteful number, since it uses less digits than its factorization.
20448484 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 45 counting only the distinct ones).
The product of its (nonzero) digits is 32768, while the sum is 34.
The cubic root of 20448484 is about 273.4557367037.
The spelling of 20448484 in words is "twenty million, four hundred forty-eight thousand, four hundred eighty-four".
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