Base | Representation |
---|---|
bin | 1011011011100… |
… | …1111100000000 |
3 | 10100012222122002 |
4 | 2312321330000 |
5 | 44233310040 |
6 | 4431403132 |
7 | 1121355455 |
oct | 266717400 |
9 | 110188562 |
10 | 47947520 |
11 | 25079755 |
12 | 140834a8 |
13 | 9c1a11a |
14 | 652182c |
15 | 4321a15 |
hex | 2db9f00 |
47947520 has 72 divisors (see below), whose sum is σ = 117440064. Its totient is φ = 18747392.
The previous prime is 47947517. The next prime is 47947541. The reversal of 47947520 is 2574974.
47947520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 7 ways as a sum of consecutive naturals, for example, 59762 + ... + 60558.
It is an arithmetic number, because the mean of its divisors is an integer number (1631112).
Almost surely, 247947520 is an apocalyptic number.
47947520 is a gapful number since it is divisible by the number (40) 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 47947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58720032).
47947520 is an abundant number, since it is smaller than the sum of its proper divisors (69492544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47947520 is an equidigital number, since it uses as much as digits as its factorization.
47947520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 865 (or 851 counting only the distinct ones).
The product of its (nonzero) digits is 70560, while the sum is 38.
The square root of 47947520 is about 6924.4147767158. The cubic root of 47947520 is about 363.2916223662.
The spelling of 47947520 in words is "forty-seven million, nine hundred forty-seven thousand, five hundred twenty".
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