52248 has 32 divisors (see below), whose sum is σ = 149760. Its totient is φ = 14880.

The previous prime is 52237. The next prime is 52249. The reversal of 52248 is 84225.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2^{52248} 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 52248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

52248 is an abundant number, since it is smaller than the sum of its proper divisors (97512).

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

52248 is a wasteful number, since it uses less digits than its factorization.

52248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 52248 is about 228.5782141850. The cubic root of 52248 is about 37.3843548430.

It can be divided in two parts, 52 and 248, that added together give a triangular number (300 = T_{24}).

The spelling of 52248 in words is "fifty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 933 1244 1866 2177 2488 3732 4354 6531 7464 8708 13062 17416 26124 52248

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