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52771040 = 2557253127
BaseRepresentation
bin1100100101001…
…1100011100000
310200022001020222
43021103203200
5102002133130
65123022212
71210355300
oct311234340
9120261228
1052771040
1127873733
121580a968
13ac1878a
147019600
154975ce5
hex32538e0

52771040 has 144 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 17611776.

The previous prime is 52771031. The next prime is 52771051. The reversal of 52771040 is 4017725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415457 + ... + 415583.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 252771040 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 52771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

52771040 is an abundant number, since it is smaller than the sum of its proper divisors (96154912).

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

52771040 is a wasteful number, since it uses less digits than its factorization.

52771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 52771040 is about 7264.3678320966. The cubic root of 52771040 is about 375.0868894953.

Adding to 52771040 its reverse (4017725), we get a palindrome (56788765).

The spelling of 52771040 in words is "fifty-two million, seven hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 70 80 98 106 112 127 140 160 196 212 224 245 254 265 280 371 392 424 490 508 530 560 635 742 784 848 889 980 1016 1060 1120 1270 1484 1568 1696 1778 1855 1960 2032 2120 2540 2597 2968 3556 3710 3920 4064 4240 4445 5080 5194 5936 6223 6731 7112 7420 7840 8480 8890 10160 10388 11872 12446 12985 13462 14224 14840 17780 20320 20776 24892 25970 26924 28448 29680 31115 33655 35560 41552 47117 49784 51940 53848 59360 62230 67310 71120 83104 94234 99568 103880 107696 124460 134620 142240 188468 199136 207760 215392 235585 248920 269240 329819 376936 415520 471170 497840 538480 659638 753872 942340 995680 1076960 1319276 1507744 1649095 1884680 2638552 3298190 3769360 5277104 6596380 7538720 10554208 13192760 26385520 52771040