52488 has 36 divisors (see below), whose sum is σ = 147615. Its totient is φ = 17496.

The previous prime is 52457. The next prime is 52489. The reversal of 52488 is 88425.

Subtracting 52488 from its reverse (88425), we obtain a cube (35937 = 33^{3}).

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 can be written as a sum of positive squares in only one way, i.e., 26244 + 26244 = 162^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^{A}, here for A=8, B=3.

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

Its product of digits (2560) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (52489) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17495 + 17496 + 17497.

52488 is a Friedman number, since it can be written as 8*(5+8/2)^4, using all its digits and the basic arithmetic operations.

2^{52488} 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 52488

52488 is an abundant number, since it is smaller than the sum of its proper divisors (95127).

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

52488 is an frugal number, since it uses more digits than its factorization.

52488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 5 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 52488 is about 229.1025971044. The cubic root of 52488 is about 37.4415088149.

The spelling of 52488 in words is "fifty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 26244 52488

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