Base | Representation |
---|---|
bin | 1011010111011… |
… | …1011101100000 |
3 | 10022201011010100 |
4 | 2311313131200 |
5 | 44201101412 |
6 | 4421502400 |
7 | 1116142563 |
oct | 265673540 |
9 | 108634110 |
10 | 47675232 |
11 | 24a03120 |
12 | 13b71a00 |
13 | 9b531c7 |
14 | 64904da |
15 | 42baedc |
hex | 2d77760 |
47675232 has 144 divisors (see below), whose sum is σ = 150368400. Its totient is φ = 14208000.
The previous prime is 47675213. The next prime is 47675233. The reversal of 47675232 is 23257674.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47675233) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319894 + ... + 320042.
It is an arithmetic number, because the mean of its divisors is an integer number (1044225).
Almost surely, 247675232 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 47675232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).
47675232 is an abundant number, since it is smaller than the sum of its proper divisors (102693168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47675232 is a wasteful number, since it uses less digits than its factorization.
47675232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 277 (or 266 counting only the distinct ones).
The product of its digits is 70560, while the sum is 36.
The square root of 47675232 is about 6904.7253384910. The cubic root of 47675232 is about 362.6026204905.
It can be divided in two parts, 4767 and 5232, that added together give a palindrome (9999).
The spelling of 47675232 in words is "forty-seven million, six hundred seventy-five thousand, two hundred thirty-two".
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