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53365520 = 2451323297
BaseRepresentation
bin1100101110010…
…0101100010000
310201102020201202
43023210230100
5102130144040
65143450332
71215412415
oct313445420
9121366652
1053365520
112813a33a
1215a569a8
13b096240
14713210c
154a42015
hex32e4b10

53365520 has 120 divisors (see below), whose sum is σ = 141121176. Its totient is φ = 18653184.

The previous prime is 53365513. The next prime is 53365531. The reversal of 53365520 is 2556335.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 52823824 = 736^2 + 7268^2 .

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 23 ways as a sum of consecutive naturals, for example, 550112 + ... + 550208.

Almost surely, 253365520 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 53365520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560588).

53365520 is an abundant number, since it is smaller than the sum of its proper divisors (87755656).

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

53365520 is a wasteful number, since it uses less digits than its factorization.

53365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 53365520 is about 7305.1707714468. The cubic root of 53365520 is about 376.4901183572.

The spelling of 53365520 in words is "fifty-three million, three hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 97 104 115 130 184 194 208 230 260 299 368 388 460 485 520 529 598 776 920 970 1040 1058 1196 1261 1495 1552 1840 1940 2116 2231 2392 2522 2645 2990 3880 4232 4462 4784 5044 5290 5980 6305 6877 7760 8464 8924 10088 10580 11155 11960 12610 13754 17848 20176 21160 22310 23920 25220 27508 29003 34385 35696 42320 44620 50440 51313 55016 58006 68770 89240 100880 102626 110032 116012 137540 145015 178480 205252 232024 256565 275080 290030 410504 464048 513130 550160 580060 667069 821008 1026260 1160120 1334138 2052520 2320240 2668276 3335345 4105040 5336552 6670690 10673104 13341380 26682760 53365520