Base | Representation |
---|---|
bin | 1011010110011… |
… | …0111000100000 |
3 | 10022120200222101 |
4 | 2311212320200 |
5 | 44141413303 |
6 | 4420220144 |
7 | 1115440606 |
oct | 265467040 |
9 | 108520871 |
10 | 47607328 |
11 | 249670aa |
12 | 13b3a654 |
13 | 9b2b322 |
14 | 6473876 |
15 | 42a5d1d |
hex | 2d66e20 |
47607328 has 48 divisors (see below), whose sum is σ = 98665560. Its totient is φ = 22606080.
The previous prime is 47607311. The next prime is 47607337. The reversal of 47607328 is 82370674.
It can be written as a sum of positive squares in 4 ways, for example, as 11751184 + 35856144 = 3428^2 + 5988^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780418 + ... + 780478.
Almost surely, 247607328 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 47607328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49332780).
47607328 is an abundant number, since it is smaller than the sum of its proper divisors (51058232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47607328 is an frugal number, since it uses more digits than its factorization.
47607328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 158 (or 92 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 37.
The square root of 47607328 is about 6899.8063740949. The cubic root of 47607328 is about 362.4303866325.
The spelling of 47607328 in words is "forty-seven million, six hundred seven thousand, three hundred twenty-eight".
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