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52033828 = 22711241701
BaseRepresentation
bin1100011001111…
…1100100100100
310121220120222211
43012133210210
5101310040303
65055133204
71201165060
oct306374444
9117816884
1052033828
112740a870
1215514204
13aa1b062
146ca6aa0
15487c66d
hex319f924

52033828 has 48 divisors (see below), whose sum is σ = 114162048. Its totient is φ = 20160000.

The previous prime is 52033823. The next prime is 52033829. The reversal of 52033828 is 82833025.

52033828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52033828.

It is not an unprimeable number, because it can be changed into a prime (52033823) 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 15 ways as a sum of consecutive naturals, for example, 73878 + ... + 74578.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 252033828 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 52033828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57081024).

52033828 is an abundant number, since it is smaller than the sum of its proper divisors (62128220).

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

52033828 is a wasteful number, since it uses less digits than its factorization.

52033828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 52033828 is about 7213.4477193642. The cubic root of 52033828 is about 373.3320362058.

The spelling of 52033828 in words is "fifty-two million, thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 241 308 482 701 964 1402 1687 2651 2804 3374 4907 5302 6748 7711 9814 10604 15422 18557 19628 30844 37114 53977 74228 107954 168941 215908 337882 675764 1182587 1858351 2365174 3716702 4730348 7433404 13008457 26016914 52033828