Base | Representation |
---|---|
bin | 1011001111101… |
… | …0101001010000 |
3 | 10021202011211020 |
4 | 2303322221100 |
5 | 44033221414 |
6 | 4402515440 |
7 | 1111613220 |
oct | 263725120 |
9 | 107664736 |
10 | 47163984 |
11 | 24693aaa |
12 | 13965b80 |
13 | 9a045aa |
14 | 639a080 |
15 | 42197a9 |
hex | 2cfaa50 |
47163984 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 12097536.
The previous prime is 47163979. The next prime is 47164049. The reversal of 47163984 is 48936174.
47163984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131197 + ... + 131555.
It is an arithmetic number, because the mean of its divisors is an integer number (964224).
Almost surely, 247163984 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 47163984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).
47163984 is an abundant number, since it is smaller than the sum of its proper divisors (107111856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47163984 is a wasteful number, since it uses less digits than its factorization.
47163984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 417 (or 411 counting only the distinct ones).
The product of its digits is 145152, while the sum is 42.
The square root of 47163984 is about 6867.6039489767. The cubic root of 47163984 is about 361.3018298658.
The spelling of 47163984 in words is "forty-seven million, one hundred sixty-three thousand, nine hundred eighty-four".
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