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52388 = 2271871
BaseRepresentation
bin1100110010100100
32122212022
430302210
53134023
61042312
7305510
oct146244
978768
1052388
11363a6
1226398
131aacb
1415140
15107c8
hexcca4

52388 has 12 divisors (see below), whose sum is σ = 104832. Its totient is φ = 22440.

The previous prime is 52387. The next prime is 52391. The reversal of 52388 is 88325.

52388 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 908 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

252388 is an apocalyptic number.

It is an amenable number.

52388 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 (52416).

52388 is a wasteful number, since it uses less digits than its factorization.

52388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1880 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 52388 is about 228.8842502227. The cubic root of 52388 is about 37.4177158770.

Subtracting 52388 from its reverse (88325), we obtain a cube (35937 = 333).

The spelling of 52388 in words is "fifty-two thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 1871 3742 7484 13097 26194 52388