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53264876 = 22717317353
BaseRepresentation
bin1100101100110…
…0000111101100
310201020010200012
43023030013230
5102113434001
65141352352
71214513120
oct313140754
9121203605
1053264876
1128080765
1215a086b8
13b05c4a2
147107580
154a222bb
hex32cc1ec

53264876 has 48 divisors (see below), whose sum is σ = 113472576. Its totient is φ = 21356544.

The previous prime is 53264873. The next prime is 53264891. The reversal of 53264876 is 67846235.

It is a happy number.

53264876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (53264873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150716 + ... + 151068.

It is an arithmetic number, because the mean of its divisors is an integer number (2364012).

Almost surely, 253264876 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 53264876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56736288).

53264876 is an abundant number, since it is smaller than the sum of its proper divisors (60207700).

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

53264876 is a wasteful number, since it uses less digits than its factorization.

53264876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 53264876 is about 7298.2789752105. The cubic root of 53264876 is about 376.2532905530.

The spelling of 53264876 in words is "fifty-three million, two hundred sixty-four thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 317 353 476 634 706 1268 1412 2219 2471 4438 4942 5389 6001 8876 9884 10778 12002 21556 24004 37723 42007 75446 84014 111901 150892 168028 223802 447604 783307 1566614 1902317 3133228 3804634 7609268 13316219 26632438 53264876