Base | Representation |
---|---|
bin | 1011010010110… |
… | …0001111101000 |
3 | 10022010111111200 |
4 | 2310230033220 |
5 | 44111222034 |
6 | 4411124200 |
7 | 1113420426 |
oct | 264541750 |
9 | 108114450 |
10 | 47367144 |
11 | 24812700 |
12 | 13a43660 |
13 | 9a75bc6 |
14 | 6410116 |
15 | 4259a99 |
hex | 2d2c3e8 |
47367144 has 72 divisors (see below), whose sum is σ = 141034530. Its totient is φ = 14351040.
The previous prime is 47367139. The next prime is 47367161. The reversal of 47367144 is 44176374.
It is a happy number.
47367144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 39312900 + 8054244 = 6270^2 + 2838^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 47367099 and 47367108.
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 5994 + ... + 11430.
Almost surely, 247367144 is an apocalyptic number.
47367144 is a gapful number since it is divisible by the number (44) 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 47367144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70517265).
47367144 is an abundant number, since it is smaller than the sum of its proper divisors (93667386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47367144 is a wasteful number, since it uses less digits than its factorization.
47367144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5471 (or 5453 counting only the distinct ones).
The product of its digits is 56448, while the sum is 36.
The square root of 47367144 is about 6882.3792397688. The cubic root of 47367144 is about 361.8198588877.
The spelling of 47367144 in words is "forty-seven million, three hundred sixty-seven thousand, one hundred forty-four".
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