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46212 = 2233851
BaseRepresentation
bin1011010010000100
32100101120
423102010
52434322
6553540
7251505
oct132204
970346
1046212
11317a1
12228b0
131805a
1412bac
15da5c
hexb484

46212 has 12 divisors (see below), whose sum is σ = 107856. Its totient is φ = 15400.

The previous prime is 46199. The next prime is 46219. The reversal of 46212 is 21264.

Adding to 46212 its reverse (21264), we get a palindrome (67476).

It can be divided in two parts, 462 and 12, that added together give a palindrome (474).

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a junction number, because it is equal to n+sod(n) for n = 46191 and 46200.

It is not an unprimeable number, because it can be changed into a prime (46219) by changing a digit.

46212 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 3 ways as a sum of consecutive naturals, for example, 1914 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (8988).

246212 is an apocalyptic number.

It is an amenable number.

46212 is an abundant number, since it is smaller than the sum of its proper divisors (61644).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53928).

46212 is a wasteful number, since it uses less digits than its factorization.

46212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3858 (or 3856 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 46212 is about 214.9697653160. The cubic root of 46212 is about 35.8854382896.

The spelling of 46212 in words is "forty-six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 3851 7702 11553 15404 23106 46212