Base | Representation |
---|---|
bin | 1011100001111… |
… | …1010101010000 |
3 | 10101000002100000 |
4 | 2320133111100 |
5 | 44340102312 |
6 | 4444330000 |
7 | 1125035340 |
oct | 270372520 |
9 | 111002300 |
10 | 48362832 |
11 | 25332791 |
12 | 14243900 |
13 | a03417b |
14 | 65ccd20 |
15 | 43a4adc |
hex | 2e1f550 |
48362832 has 120 divisors (see below), whose sum is σ = 160503616. Its totient is φ = 13810176.
The previous prime is 48362819. The next prime is 48362833. The reversal of 48362832 is 23826384.
48362832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 6.
It is a zygodrome in base 6.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (48362833) 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 23 ways as a sum of consecutive naturals, for example, 26328 + ... + 28104.
Almost surely, 248362832 is an apocalyptic number.
48362832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48362832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80251808).
48362832 is an abundant number, since it is smaller than the sum of its proper divisors (112140784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48362832 is a wasteful number, since it uses less digits than its factorization.
48362832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1807 (or 1789 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 48362832 is about 6954.3390771518. The cubic root of 48362832 is about 364.3375285666.
It can be divided in two parts, 48362 and 832, that added together give a palindrome (49194).
The spelling of 48362832 in words is "forty-eight million, three hundred sixty-two thousand, eight hundred thirty-two".
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