Base | Representation |
---|---|
bin | 1011010000010… |
… | …1101000000000 |
3 | 10021211110112000 |
4 | 2310011220000 |
5 | 44041141320 |
6 | 4403504000 |
7 | 1112161311 |
oct | 264055000 |
9 | 107743460 |
10 | 47208960 |
11 | 24714877 |
12 | 13988000 |
13 | 9a1bbc6 |
14 | 63ac608 |
15 | 4227c90 |
hex | 2d05a00 |
47208960 has 160 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 12570624.
The previous prime is 47208943. The next prime is 47208961. The reversal of 47208960 is 6980274.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (47208961) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68779 + ... + 69461.
It is an arithmetic number, because the mean of its divisors is an integer number (1049598).
Almost surely, 247208960 is an apocalyptic number.
47208960 is a gapful number since it is divisible by the number (40) 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 47208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).
47208960 is an abundant number, since it is smaller than the sum of its proper divisors (120726720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47208960 is an equidigital number, since it uses as much as digits as its factorization.
47208960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 715 (or 693 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The square root of 47208960 is about 6870.8776731943. The cubic root of 47208960 is about 361.4166402720.
The spelling of 47208960 in words is "forty-seven million, two hundred eight thousand, nine hundred sixty".
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