Base | Representation |
---|---|
bin | 1011011000100… |
… | …0111001100000 |
3 | 10022211210002200 |
4 | 2312020321200 |
5 | 44210343111 |
6 | 4423213200 |
7 | 1116561036 |
oct | 266107140 |
9 | 108753080 |
10 | 47746656 |
11 | 24a51851 |
12 | 13ba7200 |
13 | 9b79879 |
14 | 64ac556 |
15 | 42d2256 |
hex | 2d88e60 |
47746656 has 72 divisors (see below), whose sum is σ = 136641960. Its totient is φ = 15814656.
The previous prime is 47746637. The next prime is 47746661. The reversal of 47746656 is 65664774.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a congruent number.
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 11 ways as a sum of consecutive naturals, for example, 55155 + ... + 56013.
It is an arithmetic number, because the mean of its divisors is an integer number (1897805).
Almost surely, 247746656 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 47746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68320980).
47746656 is an abundant number, since it is smaller than the sum of its proper divisors (88895304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47746656 is a wasteful number, since it uses less digits than its factorization.
47746656 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1068 (or 1057 counting only the distinct ones).
The product of its digits is 846720, while the sum is 45.
The square root of 47746656 is about 6909.8955129582. The cubic root of 47746656 is about 362.7836062005.
The spelling of 47746656 in words is "forty-seven million, seven hundred forty-six thousand, six hundred fifty-six".
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