Base | Representation |
---|---|
bin | 1011010001111… |
… | …1100000000000 |
3 | 10022000211220100 |
4 | 2310133200000 |
5 | 44103034234 |
6 | 4410042400 |
7 | 1113112305 |
oct | 264374000 |
9 | 108024810 |
10 | 47314944 |
11 | 24787466 |
12 | 13a19400 |
13 | 9a58211 |
14 | 63d90ac |
15 | 4249399 |
hex | 2d1f800 |
47314944 has 144 divisors (see below), whose sum is σ = 145650960. Its totient is φ = 14745600.
The previous prime is 47314937. The next prime is 47314963. The reversal of 47314944 is 44941374.
47314944 is a `hidden beast` number, since 473 + 149 + 44 = 666.
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 junction number, because it is equal to n+sod(n) for n = 47314899 and 47314908.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313269 + ... + 313419.
It is an arithmetic number, because the mean of its divisors is an integer number (1011465).
Almost surely, 247314944 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 47314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72825480).
47314944 is an abundant number, since it is smaller than the sum of its proper divisors (98336016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47314944 is a wasteful number, since it uses less digits than its factorization.
47314944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 196 (or 173 counting only the distinct ones).
The product of its digits is 48384, while the sum is 36.
The square root of 47314944 is about 6878.5859011864. The cubic root of 47314944 is about 361.6868979553.
The spelling of 47314944 in words is "forty-seven million, three hundred fourteen thousand, nine hundred forty-four".
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