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53255120 = 24523103281
BaseRepresentation
bin1100101100100…
…1101111010000
310201012122021212
43023021233100
5102113130440
65141235252
71214442512
oct313115720
9121178255
1053255120
11280743a6
1215a02b28
13b057c09
147103bb2
154a1e465
hex32c9bd0

53255120 has 80 divisors (see below), whose sum is σ = 130920192. Its totient is φ = 20106240.

The previous prime is 53255093. The next prime is 53255123. The reversal of 53255120 is 2155235.

53255120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×532551202 = 5672215612428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53255123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189380 + ... + 189660.

Almost surely, 253255120 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 53255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65460096).

53255120 is an abundant number, since it is smaller than the sum of its proper divisors (77665072).

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

53255120 is a wasteful number, since it uses less digits than its factorization.

53255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 53255120 is about 7297.6105678503. The cubic root of 53255120 is about 376.2303176203.

The spelling of 53255120 in words is "fifty-three million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 103 115 184 206 230 281 368 412 460 515 562 824 920 1030 1124 1405 1648 1840 2060 2248 2369 2810 4120 4496 4738 5620 6463 8240 9476 11240 11845 12926 18952 22480 23690 25852 28943 32315 37904 47380 51704 57886 64630 94760 103408 115772 129260 144715 189520 231544 258520 289430 463088 517040 578860 665689 1157720 1331378 2315440 2662756 3328445 5325512 6656890 10651024 13313780 26627560 53255120