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53284224 = 273743461
BaseRepresentation
bin1100101101000…
…0110110000000
310201021010012210
43023100312000
5102120043344
65142022120
71214623410
oct313206600
9121233183
1053284224
1128094254
1215a17940
13b068236
147110640
154a27db9
hex32d0d80

53284224 has 128 divisors (see below), whose sum is σ = 165876480. Its totient is φ = 14837760.

The previous prime is 53284207. The next prime is 53284237. The reversal of 53284224 is 42248235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53284191 and 53284200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115354 + ... + 115814.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 253284224 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 53284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938240).

53284224 is an abundant number, since it is smaller than the sum of its proper divisors (112592256).

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

53284224 is a wasteful number, since it uses less digits than its factorization.

53284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 53284224 is about 7299.6043728410. The cubic root of 53284224 is about 376.2988419429.

The spelling of 53284224 in words is "fifty-three million, two hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 258 301 336 344 384 448 461 516 602 672 688 896 903 922 1032 1204 1344 1376 1383 1806 1844 2064 2408 2688 2752 2766 3227 3612 3688 4128 4816 5504 5532 6454 7224 7376 8256 9632 9681 11064 12908 14448 14752 16512 19264 19362 19823 22128 25816 28896 29504 38528 38724 39646 44256 51632 57792 59008 59469 77448 79292 88512 103264 115584 118938 138761 154896 158584 177024 206528 237876 277522 309792 317168 413056 416283 475752 555044 619584 634336 832566 951504 1110088 1239168 1268672 1665132 1903008 2220176 2537344 3330264 3806016 4440352 6660528 7612032 8880704 13321056 17761408 26642112 53284224