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48660 = 2235811
BaseRepresentation
bin1011111000010100
32110202020
423320110
53024120
61013140
7261603
oct137024
973666
1048660
1133617
12241b0
13191c1
1413a3a
15e640
hexbe14

48660 has 24 divisors (see below), whose sum is σ = 136416. Its totient is φ = 12960.

The previous prime is 48649. The next prime is 48661. The reversal of 48660 is 6684.

48660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 48660.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48660.

It is not an unprimeable number, because it can be changed into a prime (48661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (5684).

248660 is an apocalyptic number.

It is an amenable number.

48660 is an abundant number, since it is smaller than the sum of its proper divisors (87756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68208).

48660 is a wasteful number, since it uses less digits than its factorization.

48660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 48660 is about 220.5901176390. The cubic root of 48660 is about 36.5082235802.

Adding to 48660 its sum of digits (24), we get a palindrome (48684).

The spelling of 48660 in words is "forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 811 1622 2433 3244 4055 4866 8110 9732 12165 16220 24330 48660