Base | Representation |
---|---|
bin | 1000110111111… |
… | …11100000000000 |
3 | 12012002021212200 |
4 | 10123333200000 |
5 | 123024244343 |
6 | 11215353200 |
7 | 1562534130 |
oct | 433774000 |
9 | 165067780 |
10 | 74446848 |
11 | 39029023 |
12 | 20b22800 |
13 | 125678b8 |
14 | 9c5cac0 |
15 | 68084d3 |
hex | 46ff800 |
74446848 has 144 divisors (see below), whose sum is σ = 246158640. Its totient is φ = 21233664.
The previous prime is 74446847. The next prime is 74446861. The reversal of 74446848 is 84864447.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (74446843) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128736 + ... + 129312.
It is an arithmetic number, because the mean of its divisors is an integer number (1709435).
Almost surely, 274446848 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 74446848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123079320).
74446848 is an abundant number, since it is smaller than the sum of its proper divisors (171711792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74446848 is a wasteful number, since it uses less digits than its factorization.
74446848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 612 (or 589 counting only the distinct ones).
The product of its digits is 688128, while the sum is 45.
The square root of 74446848 is about 8628.2586887506. The cubic root of 74446848 is about 420.6770033813.
The spelling of 74446848 in words is "seventy-four million, four hundred forty-six thousand, eight hundred forty-eight".
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