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48900 = 22352163
BaseRepresentation
bin1011111100000100
32111002010
423330010
53031100
61014220
7262365
oct137404
974063
1048900
1133815
1224370
1319347
1413b6c
15e750
hexbf04

48900 has 36 divisors (see below), whose sum is σ = 142352. Its totient is φ = 12960.

The previous prime is 48889. The next prime is 48907. The reversal of 48900 is 984.

48900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (48907) by changing a digit.

48900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 381.

248900 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 48900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71176).

48900 is an abundant number, since it is smaller than the sum of its proper divisors (93452).

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

48900 is a wasteful number, since it uses less digits than its factorization.

48900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 48900 is about 221.1334438750. The cubic root of 48900 is about 36.5681469107.

The spelling of 48900 in words is "forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 489 652 815 978 1630 1956 2445 3260 4075 4890 8150 9780 12225 16300 24450 48900