Base | Representation |
---|---|
bin | 1011001101100… |
… | …0001110101100 |
3 | 10021111000110100 |
4 | 2303120032230 |
5 | 44014214040 |
6 | 4355511100 |
7 | 1110455232 |
oct | 263301654 |
9 | 107430410 |
10 | 47023020 |
11 | 245a8100 |
12 | 138b8490 |
13 | 9985395 |
14 | 6360952 |
15 | 41dcb30 |
hex | 2cd83ac |
47023020 has 216 divisors, whose sum is σ = 167311872. Its totient is φ = 10644480.
The previous prime is 47022979. The next prime is 47023021. The reversal of 47023020 is 2032074.
It is a happy number.
47023020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×470230202 = 4422328819840800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 47022984 and 47023002.
It is not an unprimeable number, because it can be changed into a prime (47023021) 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 71 ways as a sum of consecutive naturals, for example, 370197 + ... + 370323.
It is an arithmetic number, because the mean of its divisors is an integer number (774592).
Almost surely, 247023020 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 47023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).
47023020 is an abundant number, since it is smaller than the sum of its proper divisors (120288852).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47023020 is a wasteful number, since it uses less digits than its factorization.
47023020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 181 (or 165 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 18.
The square root of 47023020 is about 6857.3333009268. Note that the first 4 decimals coincide. The cubic root of 47023020 is about 360.9415169621.
Adding to 47023020 its reverse (2032074), we get a palindrome (49055094).
The spelling of 47023020 in words is "forty-seven million, twenty-three thousand, twenty".
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