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52853328 = 24321161547
BaseRepresentation
bin1100100110011…
…1101001010000
310200110020010200
43021213221100
5102012301303
65124455200
71211150223
oct311475120
9120406120
1052853328
112791a540
121584a500
13ac47078
14703b5ba
1549903a3
hex3267a50

52853328 has 120 divisors (see below), whose sum is σ = 164307936. Its totient is φ = 15724800.

The previous prime is 52853309. The next prime is 52853369. The reversal of 52853328 is 82335825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52853292 and 52853301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96351 + ... + 96897.

Almost surely, 252853328 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 52853328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82153968).

52853328 is an abundant number, since it is smaller than the sum of its proper divisors (111454608).

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

52853328 is a wasteful number, since it uses less digits than its factorization.

52853328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 624 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 52853328 is about 7270.0294359789. The cubic root of 52853328 is about 375.2817509241.

The spelling of 52853328 in words is "fifty-two million, eight hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 547 549 671 732 792 976 1094 1098 1342 1464 1584 1641 2013 2188 2196 2684 2928 3282 4026 4376 4392 4923 5368 6017 6039 6564 8052 8752 8784 9846 10736 12034 12078 13128 16104 18051 19692 24068 24156 26256 32208 33367 36102 39384 48136 48312 54153 66734 72204 78768 96272 96624 100101 108306 133468 144408 200202 216612 266936 288816 300303 367037 400404 433224 533872 600606 734074 800808 866448 1101111 1201212 1468148 1601616 2202222 2402424 2936296 3303333 4404444 4804848 5872592 6606666 8808888 13213332 17617776 26426664 52853328