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46180 = 2252309
BaseRepresentation
bin1011010001100100
32100100101
423101210
52434210
6553444
7251431
oct132144
970311
1046180
1131772
1222884
1318034
1412b88
15da3a
hexb464

46180 has 12 divisors (see below), whose sum is σ = 97020. Its totient is φ = 18464.

The previous prime is 46171. The next prime is 46181. The reversal of 46180 is 8164.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 17956 = 168^2 + 134^2 .

It is not an unprimeable number, because it can be changed into a prime (46181) 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, 1135 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

246180 is an apocalyptic number.

It is an amenable number.

46180 is an abundant number, since it is smaller than the sum of its proper divisors (50840).

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 (48510).

46180 is a wasteful number, since it uses less digits than its factorization.

46180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 46180 is about 214.8953233553. The cubic root of 46180 is about 35.8771532901.

The spelling of 46180 in words is "forty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 2309 4618 9236 11545 23090 46180