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48684 = 2234057
BaseRepresentation
bin1011111000101100
32110210010
423320230
53024214
61013220
7261636
oct137054
973703
1048684
1133639
1224210
131920c
1413a56
15e659
hexbe2c

48684 has 12 divisors (see below), whose sum is σ = 113624. Its totient is φ = 16224.

The previous prime is 48679. The next prime is 48731.

48684 is nontrivially palindromic in base 10.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2017 + ... + 2040.

248684 is an apocalyptic number.

It is an amenable number.

48684 is an abundant number, since it is smaller than the sum of its proper divisors (64940).

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 (56812).

48684 is a wasteful number, since it uses less digits than its factorization.

48684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4062 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 48684 is about 220.6445104688. The cubic root of 48684 is about 36.5142247677.

The spelling of 48684 in words is "forty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 4057 8114 12171 16228 24342 48684