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52261728 = 253599227
BaseRepresentation
bin1100011101011…
…1001101100000
310122100011121120
43013113031200
5101334333403
65104052240
71203134361
oct307271540
9118304546
1052261728
1127556012
1215604080
13aa9a9cc
146d25b68
1548c4e53
hex31d7360

52261728 has 48 divisors (see below), whose sum is σ = 139527360. Its totient is φ = 17123456.

The previous prime is 52261717. The next prime is 52261733. The reversal of 52261728 is 82716225.

52261728 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 (48).

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 7 ways as a sum of consecutive naturals, for example, 1051 + ... + 10277.

It is an arithmetic number, because the mean of its divisors is an integer number (2906820).

Almost surely, 252261728 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 52261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69763680).

52261728 is an abundant number, since it is smaller than the sum of its proper divisors (87265632).

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

52261728 is a wasteful number, since it uses less digits than its factorization.

52261728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9291 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 52261728 is about 7229.2273446061. The cubic root of 52261728 is about 373.8762876404.

The spelling of 52261728 in words is "fifty-two million, two hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 9227 18454 27681 36908 55362 73816 110724 147632 221448 295264 442896 544393 885792 1088786 1633179 2177572 3266358 4355144 6532716 8710288 13065432 17420576 26130864 52261728