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52032256 = 28238837
BaseRepresentation
bin1100011001111…
…1001100000000
310121220111211121
43012133030000
5101310013011
65055122024
71201160353
oct306371400
9117814747
1052032256
1127409671
1215513314
13aa1a423
146ca629a
15487be71
hex319f300

52032256 has 36 divisors (see below), whose sum is σ = 108389232. Its totient is φ = 24882176.

The previous prime is 52032247. The next prime is 52032269. The reversal of 52032256 is 65223025.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 52032256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1470 + ... + 10306.

It is an arithmetic number, because the mean of its divisors is an integer number (3010812).

Almost surely, 252032256 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 52032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54194616).

52032256 is an abundant number, since it is smaller than the sum of its proper divisors (56356976).

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

52032256 is an equidigital number, since it uses as much as digits as its factorization.

52032256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 52032256 is about 7213.3387553892. The cubic root of 52032256 is about 373.3282765755.

The spelling of 52032256 in words is "fifty-two million, thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 1472 2944 5888 8837 17674 35348 70696 141392 203251 282784 406502 565568 813004 1131136 1626008 2262272 3252016 6504032 13008064 26016128 52032256