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53805024 = 25327132053
BaseRepresentation
bin1100110100111…
…1111111100000
310202020120121200
43031033333200
5102233230044
65201121200
71222222650
oct315177740
9122216550
1053805024
112840a569
1216029200
13b1bb2c0
147208360
154acc369
hex334ffe0

53805024 has 144 divisors (see below), whose sum is σ = 188409312. Its totient is φ = 14183424.

The previous prime is 53804987. The next prime is 53805029. The reversal of 53805024 is 42050835.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53805029) 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, 25182 + ... + 27234.

It is an arithmetic number, because the mean of its divisors is an integer number (1308398).

Almost surely, 253805024 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 53805024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94204656).

53805024 is an abundant number, since it is smaller than the sum of its proper divisors (134604288).

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

53805024 is a wasteful number, since it uses less digits than its factorization.

53805024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53805024 is about 7335.1907950646. The cubic root of 53805024 is about 377.5208508577.

Adding to 53805024 its reverse (42050835), we get a palindrome (95855859).

It can be divided in two parts, 5380 and 5024, that added together give a square (10404 = 1022).

The spelling of 53805024 in words is "fifty-three million, eight hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2053 2184 2912 3276 3744 4106 4368 6159 6552 8212 8736 12318 13104 14371 16424 18477 24636 26208 26689 28742 32848 36954 43113 49272 53378 57484 65696 73908 80067 86226 98544 106756 114968 129339 147816 160134 172452 186823 197088 213512 229936 240201 258678 295632 320268 344904 373646 427024 459872 480402 517356 560469 591264 640536 689808 747292 854048 960804 1034712 1120938 1281072 1379616 1494584 1681407 1921608 2069424 2241876 2562144 2989168 3362814 3843216 4138848 4483752 5978336 6725628 7686432 8967504 13451256 17935008 26902512 53805024