Search a number
-
+
52613418 = 23111325389
BaseRepresentation
bin1100100010110…
…1000100101010
310200000001001010
43020231010222
5101432112133
65115404350
71206130614
oct310550452
9120001033
1052613418
1127776270
12157536b6
13ab91b00
146db7db4
154944263
hex322d12a

52613418 has 96 divisors (see below), whose sum is σ = 128070720. Its totient is φ = 14277120.

The previous prime is 52613389. The next prime is 52613423. The reversal of 52613418 is 81431625.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 591118 + ... + 591206.

It is an arithmetic number, because the mean of its divisors is an integer number (1334070).

Almost surely, 252613418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52613418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64035360).

52613418 is an abundant number, since it is smaller than the sum of its proper divisors (75457302).

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

52613418 is a wasteful number, since it uses less digits than its factorization.

52613418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 52613418 is about 7253.5107361884. The cubic root of 52613418 is about 374.7130676199.

The spelling of 52613418 in words is "fifty-two million, six hundred thirteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 53 66 78 89 106 143 159 169 178 267 286 318 338 429 507 534 583 689 858 979 1014 1157 1166 1378 1749 1859 1958 2067 2314 2937 3471 3498 3718 4134 4717 5577 5874 6942 7579 8957 9434 11154 12727 14151 15041 15158 17914 22737 25454 26871 28302 30082 38181 45123 45474 51887 53742 61321 76362 90246 98527 103774 122642 155661 165451 183963 197054 295581 311322 330902 367926 496353 591162 674531 797173 992706 1349062 1594346 2023593 2391519 4047186 4783038 8768903 17537806 26306709 52613418