Base | Representation |
---|---|
bin | 1011010011101… |
… | …0001010000100 |
3 | 10022020101200100 |
4 | 2310322022010 |
5 | 44120033012 |
6 | 4412244100 |
7 | 1114045530 |
oct | 264721204 |
9 | 108211610 |
10 | 47424132 |
11 | 248514a8 |
12 | 13a70630 |
13 | 9a95b22 |
14 | 6426bc0 |
15 | 426b8dc |
hex | 2d3a284 |
47424132 has 72 divisors (see below), whose sum is σ = 137673536. Its totient is φ = 13483584.
The previous prime is 47424127. The next prime is 47424161. The reversal of 47424132 is 23142474.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 47424096 and 47424105.
It is an unprimeable number.
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, 77058 + ... + 77670.
Almost surely, 247424132 is an apocalyptic number.
47424132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 47424132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68836768).
47424132 is an abundant number, since it is smaller than the sum of its proper divisors (90249404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47424132 is a wasteful number, since it uses less digits than its factorization.
47424132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 937 (or 932 counting only the distinct ones).
The product of its digits is 5376, while the sum is 27.
The square root of 47424132 is about 6886.5181332804. The cubic root of 47424132 is about 361.9649040587.
The spelling of 47424132 in words is "forty-seven million, four hundred twenty-four thousand, one hundred thirty-two".
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