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55804 = 2271993
BaseRepresentation
bin1101100111111100
32211112211
431213330
53241204
61110204
7321460
oct154774
984484
1055804
1138a21
1228364
131c528
14164a0
1511804
hexd9fc

55804 has 12 divisors (see below), whose sum is σ = 111664. Its totient is φ = 23904.

The previous prime is 55799. The next prime is 55807. The reversal of 55804 is 40855.

It is a happy number.

55804 is an admirable number.

It is a super-2 number, since 2×558042 = 6228172832, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 969 + ... + 1024.

255804 is an apocalyptic number.

It is an amenable number.

55804 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 (55832).

55804 is a wasteful number, since it uses less digits than its factorization.

55804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 55804 is about 236.2287027438. The cubic root of 55804 is about 38.2139364188.

The spelling of 55804 in words is "fifty-five thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 1993 3986 7972 13951 27902 55804