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52648928 = 253753839
BaseRepresentation
bin1100100011010…
…1101111100000
310200001211202022
43020311233200
5101434231203
65120241012
71206336263
oct310655740
9120054668
1052648928
112779aa12
1215770168
13aba5017
146dc6cda
15494ea38
hex3235be0

52648928 has 48 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 25099776.

The previous prime is 52648919. The next prime is 52648951. The reversal of 52648928 is 82984625.

52648928 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 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, 62333 + ... + 63171.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 252648928 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 52648928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

52648928 is an abundant number, since it is smaller than the sum of its proper divisors (55942912).

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

52648928 is a wasteful number, since it uses less digits than its factorization.

52648928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 52648928 is about 7255.9581035174. The cubic root of 52648928 is about 374.7973494701.

The spelling of 52648928 in words is "fifty-two million, six hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 424 592 839 848 1184 1678 1696 1961 3356 3922 6712 7844 13424 15688 26848 31043 31376 44467 62086 62752 88934 124172 177868 248344 355736 496688 711472 993376 1422944 1645279 3290558 6581116 13162232 26324464 52648928