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52115280 = 2435767463
BaseRepresentation
bin1100011011001…
…1011101010000
310122001201201120
43012303131100
5101320142110
65101002240
71201654410
oct306633520
9118051646
1052115280
1127465a88
1215553380
13aa49159
146cc8640
154896870
hex31b3750

52115280 has 160 divisors (see below), whose sum is σ = 187797504. Its totient is φ = 11708928.

The previous prime is 52115209. The next prime is 52115281. The reversal of 52115280 is 8251125.

52115280 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52115280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52115281) 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 31 ways as a sum of consecutive naturals, for example, 112329 + ... + 112791.

Almost surely, 252115280 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 52115280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93898752).

52115280 is an abundant number, since it is smaller than the sum of its proper divisors (135682224).

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

52115280 is a wasteful number, since it uses less digits than its factorization.

52115280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 52115280 is about 7219.0913555655. The cubic root of 52115280 is about 373.5267351102.

The spelling of 52115280 in words is "fifty-two million, one hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 463 469 536 560 670 804 840 926 938 1005 1072 1340 1389 1407 1608 1680 1852 1876 2010 2315 2345 2680 2778 2814 3216 3241 3704 3752 4020 4630 4690 5360 5556 5628 6482 6945 7035 7408 7504 8040 9260 9380 9723 11112 11256 12964 13890 14070 16080 16205 18520 18760 19446 22224 22512 25928 27780 28140 31021 32410 37040 37520 38892 48615 51856 55560 56280 62042 64820 77784 93063 97230 111120 112560 124084 129640 155105 155568 186126 194460 217147 248168 259280 310210 372252 388920 434294 465315 496336 620420 651441 744504 777840 868588 930630 1085735 1240840 1302882 1489008 1737176 1861260 2171470 2481680 2605764 3257205 3474352 3722520 4342940 5211528 6514410 7445040 8685880 10423056 13028820 17371760 26057640 52115280