Base | Representation |
---|---|
bin | 1011011100000… |
… | …0001100001101 |
3 | 10100021021202201 |
4 | 2313000030031 |
5 | 44240120013 |
6 | 4432121501 |
7 | 1121523235 |
oct | 267001415 |
9 | 110237681 |
10 | 47973133 |
11 | 25096a1a |
12 | 14096291 |
13 | 9c28990 |
14 | 652acc5 |
15 | 43293dd |
hex | 2dc030d |
47973133 has 18 divisors (see below), whose sum is σ = 55371134. Its totient is φ = 41309184.
The previous prime is 47973131. The next prime is 47973143. The reversal of 47973133 is 33137974.
It can be written as a sum of positive squares in 9 ways, for example, as 31505769 + 16467364 = 5613^2 + 4058^2 .
It is not a de Polignac number, because 47973133 - 21 = 47973131 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 47973092 and 47973101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47973131) 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 17 ways as a sum of consecutive naturals, for example, 424485 + ... + 424597.
Almost surely, 247973133 is an apocalyptic number.
It is an amenable number.
47973133 is a deficient number, since it is larger than the sum of its proper divisors (7398001).
47973133 is a wasteful number, since it uses less digits than its factorization.
47973133 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 273 (or 143 counting only the distinct ones).
The product of its digits is 47628, while the sum is 37.
The square root of 47973133 is about 6926.2640001663. The cubic root of 47973133 is about 363.3562995517.
The spelling of 47973133 in words is "forty-seven million, nine hundred seventy-three thousand, one hundred thirty-three".
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