Base | Representation |
---|---|
bin | 1011101001000… |
… | …0100000000000 |
3 | 10101212122012000 |
4 | 2322100200000 |
5 | 44444420433 |
6 | 4502304000 |
7 | 1132005633 |
oct | 272204000 |
9 | 111778160 |
10 | 48826368 |
11 | 25619a78 |
12 | 14428000 |
13 | a167156 |
14 | 66adc1a |
15 | 4447113 |
hex | 2e90800 |
48826368 has 96 divisors (see below), whose sum is σ = 144799200. Its totient is φ = 16257024.
The previous prime is 48826361. The next prime is 48826369. The reversal of 48826368 is 86362884.
It is a happy number.
48826368 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 636 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (48826361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54855 + ... + 55737.
It is an arithmetic number, because the mean of its divisors is an integer number (1508325).
Almost surely, 248826368 is an apocalyptic number.
48826368 is a gapful number since it is divisible by the number (48) 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 48826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72399600).
48826368 is an abundant number, since it is smaller than the sum of its proper divisors (95972832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48826368 is an equidigital number, since it uses as much as digits as its factorization.
48826368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 914 (or 888 counting only the distinct ones).
The product of its digits is 442368, while the sum is 45.
The square root of 48826368 is about 6987.5867078699. The cubic root of 48826368 is about 365.4978332247.
It can be divided in two parts, 48826 and 368, that added together give a palindrome (49194).
The spelling of 48826368 in words is "forty-eight million, eight hundred twenty-six thousand, three hundred sixty-eight".
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