Base | Representation |
---|---|
bin | 11101011111011… |
… | …00000000000000 |
3 | 122020111022022220 |
4 | 32233230000000 |
5 | 1001312211031 |
6 | 40314131040 |
7 | 6062466240 |
oct | 1657540000 |
9 | 566438286 |
10 | 247382016 |
11 | 117705852 |
12 | 6aa20a80 |
13 | 3c336bbb |
14 | 24bd7b20 |
15 | 16ab8596 |
hex | ebec000 |
247382016 has 120 divisors (see below), whose sum is σ = 754951680. Its totient is φ = 70582272.
The previous prime is 247381999. The next prime is 247382021. The reversal of 247382016 is 610283742.
It is a super-2 number, since 2×2473820162 = 122395723680448512, which contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343705 + ... + 344423.
It is an arithmetic number, because the mean of its divisors is an integer number (6291264).
Almost surely, 2247382016 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 247382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377475840).
247382016 is an abundant number, since it is smaller than the sum of its proper divisors (507569664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
247382016 is an frugal number, since it uses more digits than its factorization.
247382016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 757 (or 731 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 33.
The square root of 247382016 is about 15728.3824978921. The cubic root of 247382016 is about 627.7538353907.
The spelling of 247382016 in words is "two hundred forty-seven million, three hundred eighty-two thousand, sixteen".
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