Base | Representation |
---|---|
bin | 1011011000000… |
… | …1111010100000 |
3 | 10022210022212010 |
4 | 2312001322200 |
5 | 44203434143 |
6 | 4422432520 |
7 | 1116411450 |
oct | 266017240 |
9 | 108708763 |
10 | 47718048 |
11 | 24a32304 |
12 | 13b92740 |
13 | 9b69841 |
14 | 64a1d60 |
15 | 42c8a33 |
hex | 2d81ea0 |
47718048 has 96 divisors (see below), whose sum is σ = 151611264. Its totient is φ = 12828672.
The previous prime is 47718037. The next prime is 47718053. The reversal of 47718048 is 84081774.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 47717997 and 47718015.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9336 + ... + 13512.
It is an arithmetic number, because the mean of its divisors is an integer number (1579284).
Almost surely, 247718048 is an apocalyptic number.
47718048 is a gapful number since it is divisible by the number (48) 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 47718048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75805632).
47718048 is an abundant number, since it is smaller than the sum of its proper divisors (103893216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47718048 is a wasteful number, since it uses less digits than its factorization.
47718048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4214 (or 4206 counting only the distinct ones).
The product of its (nonzero) digits is 50176, while the sum is 39.
The square root of 47718048 is about 6907.8251280703. The cubic root of 47718048 is about 362.7111362953.
The spelling of 47718048 in words is "forty-seven million, seven hundred eighteen thousand, forty-eight".
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