Base | Representation |
---|---|
bin | 1011100110110… |
… | …1110010100000 |
3 | 10101121102011020 |
4 | 2321231302200 |
5 | 44430343232 |
6 | 4455245440 |
7 | 1130544264 |
oct | 271556240 |
9 | 111542136 |
10 | 48684192 |
11 | 25532177 |
12 | 14379880 |
13 | a11751b |
14 | 66740a4 |
15 | 4419e2c |
hex | 2e6dca0 |
48684192 has 96 divisors (see below), whose sum is σ = 141305472. Its totient is φ = 14598144.
The previous prime is 48684191. The next prime is 48684197. The reversal of 48684192 is 29148684.
48684192 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).
It is not an unprimeable number, because it can be changed into a prime (48684191) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36888 + ... + 38184.
It is an arithmetic number, because the mean of its divisors is an integer number (1471932).
Almost surely, 248684192 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 48684192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70652736).
48684192 is an abundant number, since it is smaller than the sum of its proper divisors (92621280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48684192 is a wasteful number, since it uses less digits than its factorization.
48684192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).
The product of its digits is 110592, while the sum is 42.
The square root of 48684192 is about 6977.4058216503. The cubic root of 48684192 is about 365.1427276928.
The spelling of 48684192 in words is "forty-eight million, six hundred eighty-four thousand, one hundred ninety-two".
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