Search a number
-
+
53284320 = 2532537003
BaseRepresentation
bin1100101101000…
…0110111100000
310201021010100100
43023100313200
5102120044240
65142022400
71214623605
oct313206740
9121233310
1053284320
1128094331
1215a17a00
13b0682ab
1471106ac
154a27e30
hex32d0de0

53284320 has 72 divisors (see below), whose sum is σ = 181837656. Its totient is φ = 14208768.

The previous prime is 53284313. The next prime is 53284321. The reversal of 53284320 is 2348235.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53284321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17062 + ... + 19941.

It is an arithmetic number, because the mean of its divisors is an integer number (2525523).

Almost surely, 253284320 is an apocalyptic number.

It is an amenable number.

53284320 is an abundant number, since it is smaller than the sum of its proper divisors (128553336).

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

53284320 is a wasteful number, since it uses less digits than its factorization.

53284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37024 (or 37013 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53284320 is about 7299.6109485369. The cubic root of 53284320 is about 376.2990679302.

The spelling of 53284320 in words is "fifty-three million, two hundred eighty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 37003 74006 111009 148012 185015 222018 296024 333027 370030 444036 555045 592048 666054 740060 888072 1110090 1184096 1332108 1480120 1665135 1776144 2220180 2664216 2960240 3330270 3552288 4440360 5328432 5920480 6660540 8880720 10656864 13321080 17761440 26642160 53284320