55296 has 48 divisors (see below), whose sum is σ = 163800. Its totient is φ = 18432.

The previous prime is 55291. The next prime is 55313. The reversal of 55296 is 69255.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)^{3} ⋅ (2!)^{2}.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2700) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55291) by changing a digit.

55296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18431 + 18432 + 18433.

55296 is a Friedman number, since it can be written as 9*6*2^(5+5), using all its digits and the basic arithmetic operations.

2^{55296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

55296 is an abundant number, since it is smaller than the sum of its proper divisors (108504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55296 is an equidigital number, since it uses as much as digits as its factorization.

55296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 5 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 55296 is about 235.1510153072. The cubic root of 55296 is about 38.0976252472.

55296 divided by its sum of digits (27) gives a 11-th power (2048 = 2^{11}).

It can be divided in two parts, 55 and 296, that added together give a triangular number (351 = T_{26}).

The spelling of 55296 in words is "fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296

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