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53188064 = 253153617
BaseRepresentation
bin1100101011100…
…1010111100000
310201002020022022
43022321113200
5102104004224
65140001012
71214043146
oct312712740
9121066268
1053188064
1128028a86
1215990168
13b033537
1470c7596
154a0965e
hex32b95e0

53188064 has 24 divisors (see below), whose sum is σ = 108093888. Its totient is φ = 25735680.

The previous prime is 53188063. The next prime is 53188081. The reversal of 53188064 is 46088135.

53188064 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 not an unprimeable number, because it can be changed into a prime (53188061) 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 3 ways as a sum of consecutive naturals, for example, 25817 + ... + 27800.

It is an arithmetic number, because the mean of its divisors is an integer number (4503912).

Almost surely, 253188064 is an apocalyptic number.

It is an amenable number.

53188064 is an abundant number, since it is smaller than the sum of its proper divisors (54905824).

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

53188064 is a wasteful number, since it uses less digits than its factorization.

53188064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53658 (or 53650 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 53188064 is about 7293.0147401469. The cubic root of 53188064 is about 376.0723415961.

The spelling of 53188064 in words is "fifty-three million, one hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 53617 107234 214468 428936 857872 1662127 1715744 3324254 6648508 13297016 26594032 53188064