Base | Representation |
---|---|
bin | 1011100001011… |
… | …1001111010000 |
3 | 10100221101212011 |
4 | 2320113033100 |
5 | 44333022210 |
6 | 4443512304 |
7 | 1124536600 |
oct | 270271720 |
9 | 110841764 |
10 | 48329680 |
11 | 2530a893 |
12 | 14228694 |
13 | a022059 |
14 | 65c0c00 |
15 | 4399d8a |
hex | 2e173d0 |
48329680 has 60 divisors (see below), whose sum is σ = 130722660. Its totient is φ = 16568832.
The previous prime is 48329639. The next prime is 48329681. The reversal of 48329680 is 8692384.
48329680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 5400976 + 42928704 = 2324^2 + 6552^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48329681) 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 11 ways as a sum of consecutive naturals, for example, 2245 + ... + 10084.
It is an arithmetic number, because the mean of its divisors is an integer number (2178711).
Almost surely, 248329680 is an apocalyptic number.
48329680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
48329680 is an abundant number, since it is smaller than the sum of its proper divisors (82392980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48329680 is a wasteful number, since it uses less digits than its factorization.
48329680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12356 (or 12343 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 40.
The square root of 48329680 is about 6951.9551206837. The cubic root of 48329680 is about 364.2542602234.
The spelling of 48329680 in words is "forty-eight million, three hundred twenty-nine thousand, six hundred eighty".
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