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48108 = 22319211
BaseRepresentation
bin1011101111101100
32102222210
423233230
53014413
61010420
7260154
oct135754
972883
1048108
1133165
1223a10
1318b88
1413764
15e3c3
hexbbec

48108 has 24 divisors (see below), whose sum is σ = 118720. Its totient is φ = 15120.

The previous prime is 48091. The next prime is 48109. The reversal of 48108 is 80184.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

48108 is a modest number, since divided by 108 gives 48 as remainder.

It is not an unprimeable number, because it can be changed into a prime (48109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 333.

248108 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 48108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59360).

48108 is an abundant number, since it is smaller than the sum of its proper divisors (70612).

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

48108 is a wasteful number, since it uses less digits than its factorization.

48108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 48108 is about 219.3353596664. The cubic root of 48108 is about 36.3696482484.

It can be divided in two parts, 48 and 108, that multiplied together give a square (5184 = 722).

The spelling of 48108 in words is "forty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 211 228 422 633 844 1266 2532 4009 8018 12027 16036 24054 48108