Base | Representation |
---|---|
bin | 100111000000… |
… | …0101010011000 |
3 | 1102110222001100 |
4 | 1032000222120 |
5 | 20213344234 |
6 | 2010151400 |
7 | 335551554 |
oct | 116005230 |
9 | 42428040 |
10 | 20449944 |
11 | 105a8389 |
12 | 6a22560 |
13 | 4310178 |
14 | 2a04864 |
15 | 1bde399 |
hex | 1380a98 |
20449944 has 96 divisors (see below), whose sum is σ = 59136480. Its totient is φ = 6369792.
The previous prime is 20449943. The next prime is 20449951. The reversal of 20449944 is 44994402.
20449944 = T132 + T133 + ... + T499.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 20449899 and 20449908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20449943) 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, 87652 + ... + 87884.
It is an arithmetic number, because the mean of its divisors is an integer number (616005).
Almost surely, 220449944 is an apocalyptic number.
20449944 is a gapful number since it is divisible by the number (24) 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 20449944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29568240).
20449944 is an abundant number, since it is smaller than the sum of its proper divisors (38686536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20449944 is a wasteful number, since it uses less digits than its factorization.
20449944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 321 (or 314 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 20449944 is about 4522.1614301128. The cubic root of 20449944 is about 273.4622446984.
The spelling of 20449944 in words is "twenty million, four hundred forty-nine thousand, nine hundred forty-four".
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