Base | Representation |
---|---|
bin | 10110111000111… |
… | …00011110100000 |
3 | 111101021220210010 |
4 | 23130130132200 |
5 | 343123143143 |
6 | 31015204520 |
7 | 4521011253 |
oct | 1334343640 |
9 | 441256703 |
10 | 192006048 |
11 | 99422a93 |
12 | 54376740 |
13 | 30a18860 |
14 | 1b70109a |
15 | 11ccaa33 |
hex | b71c7a0 |
192006048 has 96 divisors (see below), whose sum is σ = 547235136. Its totient is φ = 58595328.
The previous prime is 192006037. The next prime is 192006053. The reversal of 192006048 is 840600291.
192006048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
192006048 is a modest number, since divided by 6048 gives 192 as remainder.
It is a zygodrome in base 15.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170415 + ... + 171537.
It is an arithmetic number, because the mean of its divisors is an integer number (5700366).
Almost surely, 2192006048 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 192006048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273617568).
192006048 is an abundant number, since it is smaller than the sum of its proper divisors (355229088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
192006048 is a wasteful number, since it uses less digits than its factorization.
192006048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1286 (or 1278 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 30.
The square root of 192006048 is about 13856.6246972342. The cubic root of 192006048 is about 576.9058855076.
The spelling of 192006048 in words is "one hundred ninety-two million, six thousand, forty-eight".
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