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46112 = 2511131
BaseRepresentation
bin1011010000100000
32100020212
423100200
52433422
6553252
7251303
oct132040
970225
1046112
1131710
1222828
1317cb1
1412b3a
15d9e2
hexb420

46112 has 24 divisors (see below), whose sum is σ = 99792. Its totient is φ = 20800.

The previous prime is 46103. The next prime is 46133. The reversal of 46112 is 21164.

It is a nialpdrome in base 16.

It is an unprimeable number.

46112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

246112 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 46112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896).

46112 is an abundant number, since it is smaller than the sum of its proper divisors (53680).

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

46112 is a wasteful number, since it uses less digits than its factorization.

46112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 46112 is about 214.7370485035. The cubic root of 46112 is about 35.8595349498.

Subtracting from 46112 its product of digits (48), we obtain a palindrome (46064).

Adding to 46112 its reverse (21164), we get a palindrome (67276).

It can be divided in two parts, 4 and 6112, that added together give a palindrome (6116).

The spelling of 46112 in words is "forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 1048 1441 2096 2882 4192 5764 11528 23056 46112