Base | Representation |
---|---|
bin | 1011011000110… |
… | …0110000001010 |
3 | 10022212120202100 |
4 | 2312030300022 |
5 | 44211344232 |
6 | 4423414230 |
7 | 1116655050 |
oct | 266146012 |
9 | 108776670 |
10 | 47762442 |
11 | 24a626a2 |
12 | 13bb4376 |
13 | 9b83b00 |
14 | 64b41d0 |
15 | 42d6c7c |
hex | 2d8cc0a |
47762442 has 72 divisors (see below), whose sum is σ = 128123424. Its totient is φ = 12591072.
The previous prime is 47762419. The next prime is 47762443. The reversal of 47762442 is 24426774.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 47762397 and 47762406.
It is not an unprimeable number, because it can be changed into a prime (47762443) 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 35 ways as a sum of consecutive naturals, for example, 20173 + ... + 22415.
It is an arithmetic number, because the mean of its divisors is an integer number (1779492).
Almost surely, 247762442 is an apocalyptic number.
47762442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 47762442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64061712).
47762442 is an abundant number, since it is smaller than the sum of its proper divisors (80360982).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47762442 is a wasteful number, since it uses less digits than its factorization.
47762442 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2284 (or 2268 counting only the distinct ones).
The product of its digits is 75264, while the sum is 36.
The square root of 47762442 is about 6911.0376934293. The cubic root of 47762442 is about 362.8235829686.
The spelling of 47762442 in words is "forty-seven million, seven hundred sixty-two thousand, four hundred forty-two".
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