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52682252 = 22721797163
BaseRepresentation
bin1100100011110…
…1111000001100
310200010112110112
43020331320030
5101441313002
65121055152
71206535400
oct310757014
9120115415
1052682252
1127812a57
12157874b8
13abb723c
146dd5100
154959852
hex323de0c

52682252 has 72 divisors (see below), whose sum is σ = 115429104. Its totient is φ = 20901888.

The previous prime is 52682249. The next prime is 52682257. The reversal of 52682252 is 25228625.

52682252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52682257) 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 23 ways as a sum of consecutive naturals, for example, 323123 + ... + 323285.

It is an arithmetic number, because the mean of its divisors is an integer number (1603182).

Almost surely, 252682252 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 52682252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57714552).

52682252 is an abundant number, since it is smaller than the sum of its proper divisors (62746852).

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

52682252 is a wasteful number, since it uses less digits than its factorization.

52682252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 52682252 is about 7258.2540600340. The cubic root of 52682252 is about 374.8764084567.

The spelling of 52682252 in words is "fifty-two million, six hundred eighty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 97 98 119 163 194 196 238 326 388 476 652 679 833 1141 1358 1649 1666 2282 2716 2771 3298 3332 4564 4753 5542 6596 7987 9506 11084 11543 15811 15974 19012 19397 23086 31622 31948 38794 46172 63244 77588 80801 110677 135779 161602 221354 268787 271558 323204 442708 537574 543116 774739 1075148 1549478 1881509 3098956 3763018 7526036 13170563 26341126 52682252