Base | Representation |
---|---|
bin | 1011010111100… |
… | …1100100000000 |
3 | 10022201120221011 |
4 | 2311321210000 |
5 | 44201340330 |
6 | 4422010304 |
7 | 1116206641 |
oct | 265714400 |
9 | 108646834 |
10 | 47683840 |
11 | 24a09636 |
12 | 13b76994 |
13 | 9b570b9 |
14 | 64936c8 |
15 | 42bd82a |
hex | 2d79900 |
47683840 has 36 divisors (see below), whose sum is σ = 114220764. Its totient is φ = 19073024.
The previous prime is 47683799. The next prime is 47683841. The reversal of 47683840 is 4838674.
It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 9935104 = 6144^2 + 3152^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 47683793 and 47683802.
It is not an unprimeable number, because it can be changed into a prime (47683841) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 17347 + ... + 19906.
It is an arithmetic number, because the mean of its divisors is an integer number (3172799).
Almost surely, 247683840 is an apocalyptic number.
47683840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
47683840 is an abundant number, since it is smaller than the sum of its proper divisors (66536924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47683840 is an equidigital number, since it uses as much as digits as its factorization.
47683840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37274 (or 37260 counting only the distinct ones).
The product of its (nonzero) digits is 129024, while the sum is 40.
The square root of 47683840 is about 6905.3486515889. The cubic root of 47683840 is about 362.6244424121.
Subtracting from 47683840 its product of nonzero digits (129024), we obtain a square (47554816 = 68962).
The spelling of 47683840 in words is "forty-seven million, six hundred eighty-three thousand, eight hundred forty".
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