Search a number
-
+
53328366 = 23272134651
BaseRepresentation
bin1100101101101…
…1100111101110
310201100100202200
43023123213232
5102123001431
65143002330
71215166200
oct313334756
9121310680
1053328366
1128114433
1215a393a6
13b082360
147122770
154a35ee6
hex32db9ee

53328366 has 72 divisors (see below), whose sum is σ = 144779544. Its totient is φ = 14061600.

The previous prime is 53328311. The next prime is 53328377. The reversal of 53328366 is 66382335.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53328366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9141 + ... + 13791.

It is an arithmetic number, because the mean of its divisors is an integer number (2010827).

Almost surely, 253328366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53328366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72389772).

53328366 is an abundant number, since it is smaller than the sum of its proper divisors (91451178).

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

53328366 is a wasteful number, since it uses less digits than its factorization.

53328366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4676 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 53328366 is about 7302.6273354184. The cubic root of 53328366 is about 376.4027250905.

The spelling of 53328366 in words is "fifty-three million, three hundred twenty-eight thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 4651 5733 9302 11466 13953 27906 32557 41859 60463 65114 83718 97671 120926 181389 195342 227899 293013 362778 423241 455798 544167 586026 683697 846482 1088334 1269723 1367394 2051091 2539446 2962687 3809169 4102182 5925374 7618338 8888061 17776122 26664183 53328366