Base | Representation |
---|---|
bin | 1011100001101… |
… | …1110010110000 |
3 | 10100222100110010 |
4 | 2320123302300 |
5 | 44334121321 |
6 | 4444134520 |
7 | 1124645151 |
oct | 270336260 |
9 | 110870403 |
10 | 48348336 |
11 | 25322903 |
12 | 14237440 |
13 | a02a6aa |
14 | 65c7928 |
15 | 43a0676 |
hex | 2e1bcb0 |
48348336 has 80 divisors (see below), whose sum is σ = 132134400. Its totient is φ = 15208704.
The previous prime is 48348319. The next prime is 48348341. The reversal of 48348336 is 63384384.
48348336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 48348294 and 48348303.
It is an unprimeable number.
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, 65055 + ... + 65793.
It is an arithmetic number, because the mean of its divisors is an integer number (1651680).
Almost surely, 248348336 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 48348336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66067200).
48348336 is an abundant number, since it is smaller than the sum of its proper divisors (83786064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48348336 is a wasteful number, since it uses less digits than its factorization.
48348336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 826 (or 820 counting only the distinct ones).
The product of its digits is 165888, while the sum is 39.
The square root of 48348336 is about 6953.2967720356. The cubic root of 48348336 is about 364.3011234433.
It can be divided in two parts, 48348 and 336, that added together give a palindrome (48684).
The spelling of 48348336 in words is "forty-eight million, three hundred forty-eight thousand, three hundred thirty-six".
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