Base | Representation |
---|---|
bin | 1011001101001… |
… | …0100111010000 |
3 | 10021102211220100 |
4 | 2303102213100 |
5 | 44013000031 |
6 | 4355212400 |
7 | 1110331200 |
oct | 263224720 |
9 | 107384810 |
10 | 47000016 |
11 | 24591898 |
12 | 138a7100 |
13 | 9977a7b |
14 | 6356400 |
15 | 41d5de6 |
hex | 2cd29d0 |
47000016 has 90 divisors (see below), whose sum is σ = 153032802. Its totient is φ = 13426560.
The previous prime is 47000011. The next prime is 47000059. The reversal of 47000016 is 61000074.
It can be written as a sum of positive squares in only one way, i.e., 46294416 + 705600 = 6804^2 + 840^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (47000011) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3726 + ... + 10386.
Almost surely, 247000016 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 47000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76516401).
47000016 is an abundant number, since it is smaller than the sum of its proper divisors (106032786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47000016 is a wasteful number, since it uses less digits than its factorization.
47000016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6689 (or 6673 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 47000016 is about 6855.6557673209. The cubic root of 47000016 is about 360.8826489651.
The spelling of 47000016 in words is "forty-seven million, sixteen", and thus it is an aban number and an uban number.
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