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52256 = 252371
BaseRepresentation
bin1100110000100000
32122200102
430300200
53133011
61041532
7305231
oct146040
978612
1052256
1136296
12262a8
131aa29
1415088
151073b
hexcc20

52256 has 24 divisors (see below), whose sum is σ = 108864. Its totient is φ = 24640.

The previous prime is 52253. The next prime is 52259. The reversal of 52256 is 65225.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52253) and next prime (52259).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52256.

It is not an unprimeable number, because it can be changed into a prime (52253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 701 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

252256 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 52256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

52256 is an abundant number, since it is smaller than the sum of its proper divisors (56608).

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

52256 is a wasteful number, since it uses less digits than its factorization.

52256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 52256 is about 228.5957129957. The cubic root of 52256 is about 37.3862627921.

The spelling of 52256 in words is "fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 71 92 142 184 284 368 568 736 1136 1633 2272 3266 6532 13064 26128 52256