Base | Representation |
---|---|
bin | 1011101110011… |
… | …1111000000000 |
3 | 10102112211010010 |
4 | 2323213320000 |
5 | 100042344011 |
6 | 4514104520 |
7 | 1135026222 |
oct | 273477000 |
9 | 112484103 |
10 | 49184256 |
11 | 25843950 |
12 | 1457b140 |
13 | a261014 |
14 | 6764412 |
15 | 44b81a6 |
hex | 2ee7e00 |
49184256 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 14336000.
The previous prime is 49184249. The next prime is 49184257. The reversal of 49184256 is 65248194.
49184256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
Its product of digits (69120) is a multiple of the sum of its prime divisors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (49184257) 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, 692701 + ... + 692771.
Almost surely, 249184256 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 49184256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).
49184256 is an abundant number, since it is smaller than the sum of its proper divisors (99306240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
49184256 is a wasteful number, since it uses less digits than its factorization.
49184256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 128 counting only the distinct ones).
The product of its digits is 69120, while the sum is 39.
The square root of 49184256 is about 7013.1487935164. The cubic root of 49184256 is about 366.3886700920.
The spelling of 49184256 in words is "forty-nine million, one hundred eighty-four thousand, two hundred fifty-six".
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