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52636320 = 25325113323
BaseRepresentation
bin1100100011001…
…0101010100000
310200001012110100
43020302222200
5101433330240
65120102400
71206254442
oct310625240
9120035410
1052636320
11277914a0
1215764a00
13ab9c369
146dc2492
15494ae30
hex3232aa0

52636320 has 144 divisors (see below), whose sum is σ = 196009632. Its totient is φ = 12756480.

The previous prime is 52636313. The next prime is 52636321. The reversal of 52636320 is 2363625.

52636320 is a `hidden beast` number, since 5 + 2 + 636 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52636321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14179 + ... + 17501.

It is an arithmetic number, because the mean of its divisors is an integer number (1361178).

Almost surely, 252636320 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 52636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98004816).

52636320 is an abundant number, since it is smaller than the sum of its proper divisors (143373312).

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

52636320 is a wasteful number, since it uses less digits than its factorization.

52636320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 52636320 is about 7255.0892482450. The cubic root of 52636320 is about 374.7674291253.

Adding to 52636320 its reverse (2363625), we get a palindrome (54999945).

The spelling of 52636320 in words is "fifty-two million, six hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3323 3960 5280 6646 7920 9969 13292 15840 16615 19938 26584 29907 33230 36553 39876 49845 53168 59814 66460 73106 79752 99690 106336 109659 119628 132920 146212 149535 159504 182765 199380 219318 239256 265840 292424 299070 319008 328977 365530 398760 438636 478512 531680 548295 584848 598140 657954 731060 797520 877272 957024 1096590 1169696 1196280 1315908 1462120 1595040 1644885 1754544 2193180 2392560 2631816 2924240 3289770 3509088 4386360 4785120 5263632 5848480 6579540 8772720 10527264 13159080 17545440 26318160 52636320