Base | Representation |
---|---|
bin | 1011010111100… |
… | …0100100011000 |
3 | 10022201101100100 |
4 | 2311320210120 |
5 | 44201223033 |
6 | 4421535400 |
7 | 1116162033 |
oct | 265704430 |
9 | 108641310 |
10 | 47679768 |
11 | 24a06574 |
12 | 13b74560 |
13 | 9b552a6 |
14 | 649201a |
15 | 42bc513 |
hex | 2d78918 |
47679768 has 48 divisors (see below), whose sum is σ = 130483080. Its totient is φ = 15727104.
The previous prime is 47679763. The next prime is 47679787. The reversal of 47679768 is 86797674.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47679763) 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, 3571 + ... + 10397.
Almost surely, 247679768 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 47679768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65241540).
47679768 is an abundant number, since it is smaller than the sum of its proper divisors (82803312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47679768 is a wasteful number, since it uses less digits than its factorization.
47679768 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6936 (or 6929 counting only the distinct ones).
The product of its digits is 3556224, while the sum is 54.
The square root of 47679768 is about 6905.0538013834. The cubic root of 47679768 is about 362.6141199159.
It can be divided in two parts, 4767 and 9768, that added together give a triangular number (14535 = T170).
The spelling of 47679768 in words is "forty-seven million, six hundred seventy-nine thousand, seven hundred sixty-eight".
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