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46660 = 2252333
BaseRepresentation
bin1011011001000100
32101000011
423121010
52443120
61000004
7253015
oct133104
971004
1046660
1132069
1223004
1318313
141300c
15dc5a
hexb644

46660 has 12 divisors (see below), whose sum is σ = 98028. Its totient is φ = 18656.

The previous prime is 46649. The next prime is 46663. The reversal of 46660 is 6664.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 30276 = 128^2 + 174^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (46663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1147 + ... + 1186.

It is an arithmetic number, because the mean of its divisors is an integer number (8169).

46660 is a Friedman number, since it can be written as 4+(6+6*0)^6, using all its digits and the basic arithmetic operations.

246660 is an apocalyptic number.

It is an amenable number.

46660 is an abundant number, since it is smaller than the sum of its proper divisors (51368).

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 (49014).

46660 is a wasteful number, since it uses less digits than its factorization.

46660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 46660 is about 216.0092590608. The cubic root of 46660 is about 36.0010287772.

Adding to 46660 its product of nonzero digits (864), we get a square (47524 = 2182).

Subtracting from 46660 its product of nonzero digits (864), we obtain a square (45796 = 2142).

The spelling of 46660 in words is "forty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 2333 4666 9332 11665 23330 46660