Base | Representation |
---|---|
bin | 1011011000011… |
… | …0101000011000 |
3 | 10022211022100200 |
4 | 2312012220120 |
5 | 44210043433 |
6 | 4423102200 |
7 | 1116522000 |
oct | 266065030 |
9 | 108738320 |
10 | 47737368 |
11 | 24a45878 |
12 | 13ba1960 |
13 | 9b75583 |
14 | 64a9000 |
15 | 42ce613 |
hex | 2d86a18 |
47737368 has 96 divisors (see below), whose sum is σ = 150852000. Its totient is φ = 13632192.
The previous prime is 47737337. The next prime is 47737369. The reversal of 47737368 is 86373774.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47737369) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23730 + ... + 25662.
It is an arithmetic number, because the mean of its divisors is an integer number (1571375).
Almost surely, 247737368 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 47737368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75426000).
47737368 is an abundant number, since it is smaller than the sum of its proper divisors (103114632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47737368 is a wasteful number, since it uses less digits than its factorization.
47737368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1966 (or 1945 counting only the distinct ones).
The product of its digits is 592704, while the sum is 45.
The square root of 47737368 is about 6909.2234006435. The cubic root of 47737368 is about 362.7600809744.
The spelling of 47737368 in words is "forty-seven million, seven hundred thirty-seven thousand, three hundred sixty-eight".
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