Base | Representation |
---|---|
bin | 1011001110110… |
… | …0011101000000 |
3 | 10021122020002100 |
4 | 2303230131000 |
5 | 44024341411 |
6 | 4401350400 |
7 | 1111251600 |
oct | 263543500 |
9 | 107566070 |
10 | 47105856 |
11 | 24654366 |
12 | 13938400 |
13 | 99b3cb5 |
14 | 6382c00 |
15 | 4207456 |
hex | 2cec740 |
47105856 has 126 divisors (see below), whose sum is σ = 157158690. Its totient is φ = 13450752.
The previous prime is 47105791. The next prime is 47105867. The reversal of 47105856 is 65850174.
47105856 is a `hidden beast` number, since 4 + 71 + 0 + 585 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 40755456 + 6350400 = 6384^2 + 2520^2 .
It is a tau number, because it is divible by the number of its divisors (126).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 47105856.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27390 + ... + 29058.
Almost surely, 247105856 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 47105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78579345).
47105856 is an abundant number, since it is smaller than the sum of its proper divisors (110052834).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47105856 is a wasteful number, since it uses less digits than its factorization.
47105856 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1701 (or 1681 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The square root of 47105856 is about 6863.3706005140. The cubic root of 47105856 is about 361.1533381222.
It can be divided in two parts, 47105 and 856, that added together give a square (47961 = 2192).
The spelling of 47105856 in words is "forty-seven million, one hundred five thousand, eight hundred fifty-six".
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