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52864 = 27759
BaseRepresentation
bin1100111010000000
32200111221
430322000
53142424
61044424
7310060
oct147200
980457
1052864
1136799
1226714
131b0a6
14153a0
15109e4
hexce80

52864 has 32 divisors (see below), whose sum is σ = 122400. Its totient is φ = 22272.

The previous prime is 52861. The next prime is 52879. The reversal of 52864 is 46825.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (1920) is a multiple of the sum of its prime factors (80).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (52861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 867 + ... + 925.

It is an arithmetic number, because the mean of its divisors is an integer number (3825).

252864 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 52864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

52864 is an abundant number, since it is smaller than the sum of its proper divisors (69536).

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

52864 is an equidigital number, since it uses as much as digits as its factorization.

52864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 52864 is about 229.9217258112. The cubic root of 52864 is about 37.5307007847.

The spelling of 52864 in words is "fifty-two thousand, eight hundred sixty-four".