Base | Representation |
---|---|
bin | 1011001110111… |
… | …0001011010000 |
3 | 10021122120202200 |
4 | 2303232023100 |
5 | 44030103122 |
6 | 4401443200 |
7 | 1111311300 |
oct | 263561320 |
9 | 107576680 |
10 | 47112912 |
11 | 246596a0 |
12 | 13940500 |
13 | 99b7282 |
14 | 6385600 |
15 | 42095ac |
hex | 2cee2d0 |
47112912 has 180 divisors, whose sum is σ = 167596416. Its totient is φ = 12216960.
The previous prime is 47112911. The next prime is 47112931. The reversal of 47112912 is 21921174.
47112912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47112911) 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 35 ways as a sum of consecutive naturals, for example, 77313 + ... + 77919.
Almost surely, 247112912 is an apocalyptic number.
47112912 is a gapful number since it is divisible by the number (42) 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 47112912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83798208).
47112912 is an abundant number, since it is smaller than the sum of its proper divisors (120483504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47112912 is a wasteful number, since it uses less digits than its factorization.
47112912 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 646 (or 630 counting only the distinct ones).
The product of its digits is 1008, while the sum is 27.
The square root of 47112912 is about 6863.8846144148. The cubic root of 47112912 is about 361.1713696434.
The spelling of 47112912 in words is "forty-seven million, one hundred twelve thousand, nine hundred twelve".
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