Base | Representation |
---|---|
bin | 1011001111101… |
… | …0110110101010 |
3 | 10021202020000000 |
4 | 2303322312222 |
5 | 44033233332 |
6 | 4402523430 |
7 | 1111615554 |
oct | 263726652 |
9 | 107666000 |
10 | 47164842 |
11 | 2469470a |
12 | 13966576 |
13 | 9a04aba |
14 | 639a4d4 |
15 | 4219b7c |
hex | 2cfadaa |
47164842 has 64 divisors (see below), whose sum is σ = 109105920. Its totient is φ = 15279840.
The previous prime is 47164837. The next prime is 47164861. The reversal of 47164842 is 24846174.
47164842 is a `hidden beast` number, since 4 + 7 + 1 + 648 + 4 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 47164797 and 47164806.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179203 + ... + 179465.
It is an arithmetic number, because the mean of its divisors is an integer number (1704780).
Almost surely, 247164842 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47164842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54552960).
47164842 is an abundant number, since it is smaller than the sum of its proper divisors (61941078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47164842 is an equidigital number, since it uses as much as digits as its factorization.
47164842 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 327 (or 309 counting only the distinct ones).
The product of its digits is 43008, while the sum is 36.
The square root of 47164842 is about 6867.6664158941. Note that the first 3 decimals coincide. The cubic root of 47164842 is about 361.3040207685.
The spelling of 47164842 in words is "forty-seven million, one hundred sixty-four thousand, eight hundred forty-two".
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