Base | Representation |
---|---|
bin | 1011011001111… |
… | …0101110000000 |
3 | 10100000022200220 |
4 | 2312132232000 |
5 | 44221223112 |
6 | 4425143040 |
7 | 1120412436 |
oct | 266365600 |
9 | 110008626 |
10 | 47836032 |
11 | 25002a12 |
12 | 1402aa80 |
13 | 9bab45a |
14 | 64d2d56 |
15 | 42ed98c |
hex | 2d9eb80 |
47836032 has 64 divisors (see below), whose sum is σ = 127785600. Its totient is φ = 15855104.
The previous prime is 47836031. The next prime is 47836043. The reversal of 47836032 is 23063874.
47836032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 47835984 and 47836002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47836031) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 133069 + ... + 133427.
It is an arithmetic number, because the mean of its divisors is an integer number (1996650).
Almost surely, 247836032 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 47836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63892800).
47836032 is an abundant number, since it is smaller than the sum of its proper divisors (79949568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47836032 is a wasteful number, since it uses less digits than its factorization.
47836032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 723 (or 711 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 33.
The square root of 47836032 is about 6916.3597361618. The cubic root of 47836032 is about 363.0098275387.
The spelling of 47836032 in words is "forty-seven million, eight hundred thirty-six thousand, thirty-two".
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