Base | Representation |
---|---|
bin | 1111111101011… |
… | …1110111000000 |
3 | 11122222010112000 |
4 | 3333113313000 |
5 | 114114210243 |
6 | 10350504000 |
7 | 1442006214 |
oct | 377276700 |
9 | 148863460 |
10 | 66944448 |
11 | 3487439a |
12 | 1a505000 |
13 | 10b3bacc |
14 | 8c68944 |
15 | 5d255d3 |
hex | 3fd7dc0 |
66944448 has 112 divisors (see below), whose sum is σ = 207264000. Its totient is φ = 21129984.
The previous prime is 66944417. The next prime is 66944503. The reversal of 66944448 is 84444966.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31813 + ... + 33851.
Almost surely, 266944448 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 66944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632000).
66944448 is an abundant number, since it is smaller than the sum of its proper divisors (140319552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66944448 is a wasteful number, since it uses less digits than its factorization.
66944448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2079 (or 2063 counting only the distinct ones).
The product of its digits is 663552, while the sum is 45.
The square root of 66944448 is about 8181.9586897026. The cubic root of 66944448 is about 406.0425267076.
The spelling of 66944448 in words is "sixty-six million, nine hundred forty-four thousand, four hundred forty-eight".
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