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53523132 = 223134379101
BaseRepresentation
bin1100110000101…
…1001010111100
310201201020221020
43030023022330
5102200220012
65151104140
71216640055
oct314131274
9121636836
1053523132
11282377a3
1215b12050
13b11cbc0
14717372c
154a73a8c
hex330b2bc

53523132 has 96 divisors (see below), whose sum is σ = 140743680. Its totient is φ = 15724800.

The previous prime is 53523121. The next prime is 53523149. The reversal of 53523132 is 23132535.

It is a happy number.

53523132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 529882 + ... + 529982.

It is an arithmetic number, because the mean of its divisors is an integer number (1466080).

Almost surely, 253523132 is an apocalyptic number.

53523132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53523132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70371840).

53523132 is an abundant number, since it is smaller than the sum of its proper divisors (87220548).

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

53523132 is a wasteful number, since it uses less digits than its factorization.

53523132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 53523132 is about 7315.9505192422. The cubic root of 53523132 is about 376.8604013773.

Adding to 53523132 its reverse (23132535), we get a palindrome (76655667).

The spelling of 53523132 in words is "fifty-three million, five hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 79 86 101 129 156 158 172 202 237 258 303 316 404 474 516 559 606 948 1027 1118 1212 1313 1677 2054 2236 2626 3081 3354 3397 3939 4108 4343 5252 6162 6708 6794 7878 7979 8686 10191 12324 13029 13588 15756 15958 17372 20382 23937 26058 31916 40764 44161 47874 52116 56459 88322 95748 103727 112918 132483 169377 176644 207454 225836 264966 311181 338754 343097 414908 529932 622362 677508 686194 1029291 1244724 1372388 2058582 4117164 4460261 8920522 13380783 17841044 26761566 53523132