Search a number
-
+
48112 = 243197
BaseRepresentation
bin1011101111110000
32102222221
423233300
53014422
61010424
7260161
oct135760
972887
1048112
1133169
1223a14
1318b8c
1413768
15e3c7
hexbbf0

48112 has 20 divisors (see below), whose sum is σ = 97216. Its totient is φ = 23040.

The previous prime is 48109. The next prime is 48119. The reversal of 48112 is 21184.

It is a happy number.

48112 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48119) 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, 448 + ... + 544.

248112 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 48112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48608).

48112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

48112 is a wasteful number, since it uses less digits than its factorization.

48112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 48112 is about 219.3444779337. The cubic root of 48112 is about 36.3706562205.

Adding to 48112 its reverse (21184), we get a palindrome (69296).

The spelling of 48112 in words is "forty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1552 3007 6014 12028 24056 48112