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52864680 = 233511291381
BaseRepresentation
bin1100100110101…
…0011010101000
310200110210201010
43021222122220
5102013132210
65125023520
71211225301
oct311523250
9120423633
1052864680
1127928020
1215854ba0
13ac4c29b
1470417a8
154993920
hex326a6a8

52864680 has 128 divisors (see below), whose sum is σ = 179107200. Its totient is φ = 12364800.

The previous prime is 52864663. The next prime is 52864681. The reversal of 52864680 is 8646825.

It is not an unprimeable number, because it can be changed into a prime (52864681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37590 + ... + 38970.

It is an arithmetic number, because the mean of its divisors is an integer number (1399275).

Almost surely, 252864680 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 52864680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89553600).

52864680 is an abundant number, since it is smaller than the sum of its proper divisors (126242520).

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

52864680 is a wasteful number, since it uses less digits than its factorization.

52864680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 52864680 is about 7270.8101336784. The cubic root of 52864680 is about 375.3086170561.

The spelling of 52864680 in words is "fifty-two million, eight hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1381 1595 1740 1914 2552 2762 3190 3480 3828 4143 4785 5524 6380 6905 7656 8286 9570 11048 12760 13810 15191 16572 19140 20715 27620 30382 33144 38280 40049 41430 45573 55240 60764 75955 80098 82860 91146 120147 121528 151910 160196 165720 182292 200245 227865 240294 303820 320392 364584 400490 440539 455730 480588 600735 607640 800980 881078 911460 961176 1201470 1321617 1601960 1762156 1822920 2202695 2402940 2643234 3524312 4405390 4805880 5286468 6608085 8810780 10572936 13216170 17621560 26432340 52864680