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52325728 = 25721317151
BaseRepresentation
bin1100011110011…
…0110101100000
310122110102101221
43013212311200
5101343410403
65105304424
71203522100
oct307466540
9118412357
1052325728
112759a104
1215635114
13aac0b90
146d41200
1548d8dbd
hex31e6d60

52325728 has 144 divisors (see below), whose sum is σ = 137549664. Its totient is φ = 19353600.

The previous prime is 52325699. The next prime is 52325747. The reversal of 52325728 is 82752325.

52325728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 52325693 and 52325702.

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 23 ways as a sum of consecutive naturals, for example, 346453 + ... + 346603.

It is an arithmetic number, because the mean of its divisors is an integer number (955206).

Almost surely, 252325728 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 52325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68774832).

52325728 is an abundant number, since it is smaller than the sum of its proper divisors (85223936).

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

52325728 is a wasteful number, since it uses less digits than its factorization.

52325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its digits is 33600, while the sum is 34.

The square root of 52325728 is about 7233.6524660783. The cubic root of 52325728 is about 374.0288423713.

The spelling of 52325728 in words is "fifty-two million, three hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 68 91 98 104 112 119 136 151 182 196 208 221 224 238 272 302 364 392 416 442 476 544 604 637 728 784 833 884 952 1057 1208 1274 1456 1547 1568 1666 1768 1904 1963 2114 2416 2548 2567 2912 3094 3332 3536 3808 3926 4228 4832 5096 5134 6188 6664 7072 7399 7852 8456 10192 10268 10829 12376 13328 13741 14798 15704 16912 17969 20384 20536 21658 24752 26656 27482 29596 31408 33371 33824 35938 41072 43316 49504 54964 59192 62816 66742 71876 82144 86632 96187 109928 118384 125783 133484 143752 173264 192374 219856 233597 236768 251566 266968 287504 346528 384748 439712 467194 503132 533936 575008 769496 934388 1006264 1067872 1538992 1635179 1868776 2012528 3077984 3270358 3737552 4025056 6540716 7475104 13081432 26162864 52325728