Base | Representation |
---|---|
bin | 1011100001100… |
… | …0111101000000 |
3 | 10100221202111022 |
4 | 2320120331000 |
5 | 44333233304 |
6 | 4444005012 |
7 | 1124566223 |
oct | 270307500 |
9 | 110852438 |
10 | 48336704 |
11 | 25315099 |
12 | 14230768 |
13 | a025300 |
14 | 65c35ba |
15 | 439bebe |
hex | 2e18f40 |
48336704 has 84 divisors (see below), whose sum is σ = 107373420. Its totient is φ = 21565440.
The previous prime is 48336679. The next prime is 48336709. The reversal of 48336704 is 40763384.
It can be written as a sum of positive squares in 6 ways, for example, as 14137600 + 34199104 = 3760^2 + 5848^2 .
It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48336709) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443402 + ... + 443510.
It is an arithmetic number, because the mean of its divisors is an integer number (1278255).
Almost surely, 248336704 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 48336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53686710).
48336704 is an abundant number, since it is smaller than the sum of its proper divisors (59036716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48336704 is a wasteful number, since it uses less digits than its factorization.
48336704 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 188 (or 165 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 35.
The square root of 48336704 is about 6952.4602839570. The cubic root of 48336704 is about 364.2719056812.
The spelling of 48336704 in words is "forty-eight million, three hundred thirty-six thousand, seven hundred four".
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