Base | Representation |
---|---|
bin | 1011010100111… |
… | …1000100010000 |
3 | 10022101202011100 |
4 | 2311033010100 |
5 | 44130303101 |
6 | 4414144400 |
7 | 1114553316 |
oct | 265170420 |
9 | 108352140 |
10 | 47509776 |
11 | 248aa886 |
12 | 13ab2100 |
13 | 9ac5ac2 |
14 | 644a0b6 |
15 | 4286e86 |
hex | 2d4f110 |
47509776 has 90 divisors (see below), whose sum is σ = 137219082. Its totient is φ = 15344640.
The previous prime is 47509771. The next prime is 47509799. The reversal of 47509776 is 67790574.
It can be written as a sum of positive squares in 3 ways, for example, as 32764176 + 14745600 = 5724^2 + 3840^2 .
It is not an unprimeable number, because it can be changed into a prime (47509771) 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, 197016 + ... + 197256.
Almost surely, 247509776 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 47509776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68609541).
47509776 is an abundant number, since it is smaller than the sum of its proper divisors (89709306).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47509776 is a wasteful number, since it uses less digits than its factorization.
47509776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 329 (or 283 counting only the distinct ones).
The product of its (nonzero) digits is 370440, while the sum is 45.
The square root of 47509776 is about 6892.7335651395. The cubic root of 47509776 is about 362.1826657651.
The spelling of 47509776 in words is "forty-seven million, five hundred nine thousand, seven hundred seventy-six".
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