Base | Representation |
---|---|
bin | 1011100101010… |
… | …1110100110000 |
3 | 10101102102111200 |
4 | 2321111310300 |
5 | 44414223112 |
6 | 4453211200 |
7 | 1126655145 |
oct | 271256460 |
9 | 111372450 |
10 | 48586032 |
11 | 25475450 |
12 | 14330b00 |
13 | a0b1941 |
14 | 664a3cc |
15 | 43eacdc |
hex | 2e55d30 |
48586032 has 120 divisors (see below), whose sum is σ = 152527440. Its totient is φ = 14307840.
The previous prime is 48586003. The next prime is 48586033. The reversal of 48586032 is 23068584.
48586032 is a `hidden beast` number, since 48 + 5 + 8 + 603 + 2 = 666.
48586032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (48586033) 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, 58194 + ... + 59022.
It is an arithmetic number, because the mean of its divisors is an integer number (1271062).
Almost surely, 248586032 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 48586032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76263720).
48586032 is an abundant number, since it is smaller than the sum of its proper divisors (103941408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48586032 is a wasteful number, since it uses less digits than its factorization.
48586032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 891 (or 882 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 48586032 is about 6970.3681394888. The cubic root of 48586032 is about 364.8971549863.
The spelling of 48586032 in words is "forty-eight million, five hundred eighty-six thousand, thirty-two".
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