Base | Representation |
---|---|
bin | 1011011011111… |
… | …0101101100011 |
3 | 10100020222110100 |
4 | 2312332231203 |
5 | 44234421300 |
6 | 4432033443 |
7 | 1121466462 |
oct | 266765543 |
9 | 110228410 |
10 | 47967075 |
11 | 25092412 |
12 | 14092883 |
13 | 9c25cb0 |
14 | 65289d9 |
15 | 4327700 |
hex | 2dbeb63 |
47967075 has 108 divisors (see below), whose sum is σ = 99840832. Its totient is φ = 21859200.
The previous prime is 47967071. The next prime is 47967079. The reversal of 47967075 is 57076974.
It is an interprime number because it is at equal distance from previous prime (47967071) and next prime (47967079).
It is not a de Polignac number, because 47967075 - 22 = 47967071 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 47967075.
It is not an unprimeable number, because it can be changed into a prime (47967071) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1547310 + ... + 1547340.
Almost surely, 247967075 is an apocalyptic number.
47967075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
47967075 is an abundant number, since it is smaller than the sum of its proper divisors (51873757).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47967075 is a wasteful number, since it uses less digits than its factorization.
47967075 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 370440, while the sum is 45.
The square root of 47967075 is about 6925.8266654602. The cubic root of 47967075 is about 363.3410041493.
The spelling of 47967075 in words is "forty-seven million, nine hundred sixty-seven thousand, seventy-five".
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