Search a number
-
+
53312382 = 23229414753
BaseRepresentation
bin1100101101011…
…1101101111110
310201022112211200
43023113231332
5102121444012
65142400330
71215101454
oct313275576
9121275750
1053312382
1128103422
1215a300a6
13b077cb6
14711a9d4
154a313dc
hex32d7b7e

53312382 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 16074240.

The previous prime is 53312381. The next prime is 53312393. The reversal of 53312382 is 28321335.

53312382 is a `hidden beast` number, since 533 + 123 + 8 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53312381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005868 + ... + 1005920.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 253312382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53312382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

53312382 is an abundant number, since it is smaller than the sum of its proper divisors (74058498).

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

53312382 is a wasteful number, since it uses less digits than its factorization.

53312382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 175 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53312382 is about 7301.5328527645. The cubic root of 53312382 is about 376.3651151979.

The spelling of 53312382 in words is "fifty-three million, three hundred twelve thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 29 41 47 53 58 82 87 94 106 123 141 159 174 246 261 282 318 369 423 477 522 738 846 954 1189 1363 1537 1927 2173 2378 2491 2726 3074 3567 3854 4089 4346 4611 4982 5781 6519 7134 7473 8178 9222 10701 11562 12267 13038 13833 14946 17343 19557 21402 22419 24534 27666 34686 39114 44838 55883 63017 72239 102131 111766 126034 144478 167649 189051 204262 216717 306393 335298 378102 433434 502947 567153 612786 650151 919179 1005894 1134306 1300302 1838358 2961799 5923598 8885397 17770794 26656191 53312382