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52393104 = 2432363841
BaseRepresentation
bin1100011111011…
…1010010010000
310122120211211100
43013313102100
5101403034404
65110544400
71204222401
oct307672220
9118524740
1052393104
1127635795
1215668100
13ab1574a
146d5b9a8
1548edd39
hex31f7490

52393104 has 30 divisors (see below), whose sum is σ = 146628326. Its totient is φ = 17464320.

The previous prime is 52393087. The next prime is 52393123. The reversal of 52393104 is 40139325.

52393104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 22581504 = 5460^2 + 4752^2 .

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 5 ways as a sum of consecutive naturals, for example, 181777 + ... + 182064.

Almost surely, 252393104 is an apocalyptic number.

It is an amenable number.

52393104 is an abundant number, since it is smaller than the sum of its proper divisors (94235222).

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

52393104 is a wasteful number, since it uses less digits than its factorization.

52393104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363855 (or 363846 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 52393104 is about 7238.3080896022. The cubic root of 52393104 is about 374.1893100143.

The spelling of 52393104 in words is "fifty-two million, three hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 363841 727682 1091523 1455364 2183046 2910728 3274569 4366092 5821456 6549138 8732184 13098276 17464368 26196552 52393104