Base | Representation |
---|---|
bin | 1011010000000… |
… | …1111110000000 |
3 | 10021210200222100 |
4 | 2310001332000 |
5 | 44040201414 |
6 | 4403310400 |
7 | 1112066535 |
oct | 264017600 |
9 | 107720870 |
10 | 47193984 |
11 | 247045a2 |
12 | 1397b400 |
13 | 9a15146 |
14 | 63a6d8c |
15 | 4223609 |
hex | 2d01f80 |
47193984 has 96 divisors (see below), whose sum is σ = 137957040. Its totient is φ = 15482880.
The previous prime is 47193983. The next prime is 47194013. The reversal of 47193984 is 48939174.
47193984 is a `hidden beast` number, since 471 + 93 + 98 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47193983) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81504 + ... + 82080.
Almost surely, 247193984 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 47193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68978520).
47193984 is an abundant number, since it is smaller than the sum of its proper divisors (90763056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47193984 is a wasteful number, since it uses less digits than its factorization.
47193984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 668 (or 653 counting only the distinct ones).
The product of its digits is 217728, while the sum is 45.
The square root of 47193984 is about 6869.7877696476. The cubic root of 47193984 is about 361.3784190809.
The spelling of 47193984 in words is "forty-seven million, one hundred ninety-three thousand, nine hundred eighty-four".
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