Base | Representation |
---|---|
bin | 1011001110000… |
… | …1100001010000 |
3 | 10021112221122200 |
4 | 2303201201100 |
5 | 44021423242 |
6 | 4400403200 |
7 | 1111004202 |
oct | 263414120 |
9 | 107487580 |
10 | 47061072 |
11 | 24623753 |
12 | 13916500 |
13 | 99997b6 |
14 | 6370772 |
15 | 41e904c |
hex | 2ce1850 |
47061072 has 60 divisors (see below), whose sum is σ = 133589664. Its totient is φ = 15462720.
The previous prime is 47061067. The next prime is 47061089. The reversal of 47061072 is 27016074.
47061072 is a `hidden beast` number, since 47 + 0 + 610 + 7 + 2 = 666.
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, 7923 + ... + 12525.
Almost surely, 247061072 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 47061072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66794832).
47061072 is an abundant number, since it is smaller than the sum of its proper divisors (86528592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47061072 is a wasteful number, since it uses less digits than its factorization.
47061072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4688 (or 4679 counting only the distinct ones).
The product of its (nonzero) digits is 2352, while the sum is 27.
The square root of 47061072 is about 6860.1072877908. The cubic root of 47061072 is about 361.0388511579.
It can be divided in two parts, 4706 and 1072, that added together give a triangular number (5778 = T107).
The spelling of 47061072 in words is "forty-seven million, sixty-one thousand, seventy-two".
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