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52263328 = 2513731721
BaseRepresentation
bin1100011101011…
…1100110100000
310122100020210211
43013113212200
5101334411303
65104103504
71203142135
oct307274640
9118306724
1052263328
1127557237
1215604b94
13aa9b660
146d2658c
1548c566d
hex31d79a0

52263328 has 48 divisors (see below), whose sum is σ = 112391496. Its totient is φ = 23777280.

The previous prime is 52263311. The next prime is 52263329. The reversal of 52263328 is 82336225.

52263328 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 4 ways, for example, as 43191184 + 9072144 = 6572^2 + 3012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52263328.

It is not an unprimeable number, because it can be changed into a prime (52263329) 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 7 ways as a sum of consecutive naturals, for example, 29508 + ... + 31228.

Almost surely, 252263328 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 52263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56195748).

52263328 is an abundant number, since it is smaller than the sum of its proper divisors (60128168).

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

52263328 is a wasteful number, since it uses less digits than its factorization.

52263328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1809 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 52263328 is about 7229.3380056545. The cubic root of 52263328 is about 373.8801030261.

The spelling of 52263328 in words is "fifty-two million, two hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1721 1898 2336 3442 3796 6884 7592 13768 15184 22373 27536 30368 44746 55072 89492 125633 178984 251266 357968 502532 715936 1005064 1633229 2010128 3266458 4020256 6532916 13065832 26131664 52263328