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48820 = 2252441
BaseRepresentation
bin1011111010110100
32110222011
423322310
53030240
61014004
7262222
oct137264
973864
1048820
1133752
1224304
13192b5
1413b12
15e6ea
hexbeb4

48820 has 12 divisors (see below), whose sum is σ = 102564. Its totient is φ = 19520.

The previous prime is 48817. The next prime is 48821. The reversal of 48820 is 2884.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 38416 = 102^2 + 196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48791 and 48800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1201 + ... + 1240.

It is an arithmetic number, because the mean of its divisors is an integer number (8547).

248820 is an apocalyptic number.

It is an amenable number.

48820 is an abundant number, since it is smaller than the sum of its proper divisors (53744).

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 (51282).

48820 is a wasteful number, since it uses less digits than its factorization.

48820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 48820 is about 220.9524835796. The cubic root of 48820 is about 36.5481942962.

It can be divided in two parts, 48 and 820, that added together give a palindrome (868).

The spelling of 48820 in words is "forty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 2441 4882 9764 12205 24410 48820