Base | Representation |
---|---|
bin | 1011100011001… |
… | …1011110100000 |
3 | 10101011021112000 |
4 | 2320303132200 |
5 | 44400222334 |
6 | 4450204000 |
7 | 1125531033 |
oct | 270633640 |
9 | 111137460 |
10 | 48445344 |
11 | 25389782 |
12 | 14283600 |
13 | a0628ac |
14 | 661101a |
15 | 43be299 |
hex | 2e337a0 |
48445344 has 96 divisors (see below), whose sum is σ = 144426240. Its totient is φ = 15791616.
The previous prime is 48445303. The next prime is 48445349. The reversal of 48445344 is 44354484.
48445344 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 a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 48445299 and 48445308.
It is not an unprimeable number, because it can be changed into a prime (48445349) 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, 40012 + ... + 41204.
It is an arithmetic number, because the mean of its divisors is an integer number (1504440).
Almost surely, 248445344 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 48445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72213120).
48445344 is an abundant number, since it is smaller than the sum of its proper divisors (95980896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48445344 is a wasteful number, since it uses less digits than its factorization.
48445344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).
The product of its digits is 122880, while the sum is 36.
The square root of 48445344 is about 6960.2689603204. The cubic root of 48445344 is about 364.5446100289.
The spelling of 48445344 in words is "forty-eight million, four hundred forty-five thousand, three hundred forty-four".
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