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56084 = 2272003
BaseRepresentation
bin1101101100010100
32211221012
431230110
53243314
61111352
7322340
oct155424
984835
1056084
1139156
1228558
131c6b2
1416620
151193e
hexdb14

56084 has 12 divisors (see below), whose sum is σ = 112224. Its totient is φ = 24024.

The previous prime is 56081. The next prime is 56087. The reversal of 56084 is 48065.

56084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56081) and next prime (56087).

56084 is an admirable number.

56084 is a modest number, since divided by 84 gives 56 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 974 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (9352).

256084 is an apocalyptic number.

It is an amenable number.

56084 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (56112).

56084 is a wasteful number, since it uses less digits than its factorization.

56084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 56084 is about 236.8206072115. The cubic root of 56084 is about 38.2777434106.

The spelling of 56084 in words is "fifty-six thousand, eighty-four".

Divisors: 1 2 4 7 14 28 2003 4006 8012 14021 28042 56084