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48800 = 255261
BaseRepresentation
bin1011111010100000
32110221102
423322200
53030200
61013532
7262163
oct137240
973842
1048800
1133734
12242a8
131929b
1413ada
15e6d5
hexbea0

48800 has 36 divisors (see below), whose sum is σ = 121086. Its totient is φ = 19200.

The previous prime is 48799. The next prime is 48809. The reversal of 48800 is 884.

48800 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 3 ways, for example, as 21904 + 26896 = 148^2 + 164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48800.

It is not an unprimeable number, because it can be changed into a prime (48809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 770 + ... + 830.

248800 is an apocalyptic number.

48800 is a gapful number since it is divisible by the number (40) 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 48800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60543).

48800 is an abundant number, since it is smaller than the sum of its proper divisors (72286).

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

48800 is a wasteful number, since it uses less digits than its factorization.

48800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 48800 is about 220.9072203437. The cubic root of 48800 is about 36.5432027373.

It can be divided in two parts, 48 and 800, that added together give a palindrome (848).

The spelling of 48800 in words is "forty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 610 800 976 1220 1525 1952 2440 3050 4880 6100 9760 12200 24400 48800