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53411328 = 293267173
BaseRepresentation
bin1100101110111…
…1111000000000
310201111120120100
43023233320000
5102133130303
65144442400
71215663105
oct313577000
9121446510
1053411328
11281707a3
1215a79400
13b0b1049
147144aac
154a508a3
hex32efe00

53411328 has 120 divisors (see below), whose sum is σ = 157353768. Its totient is φ = 17436672.

The previous prime is 53411327. The next prime is 53411339. The reversal of 53411328 is 82311435.

It is a happy number.

53411328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53411321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308650 + ... + 308822.

Almost surely, 253411328 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 53411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78676884).

53411328 is an abundant number, since it is smaller than the sum of its proper divisors (103942440).

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

53411328 is a wasteful number, since it uses less digits than its factorization.

53411328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 53411328 is about 7308.3054123374. The cubic root of 53411328 is about 376.5978116585.

The spelling of 53411328 in words is "fifty-three million, four hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 173 192 201 256 268 288 346 384 402 512 519 536 576 603 692 768 804 1038 1072 1152 1206 1384 1536 1557 1608 2076 2144 2304 2412 2768 3114 3216 4152 4288 4608 4824 5536 6228 6432 8304 8576 9648 11072 11591 12456 12864 16608 17152 19296 22144 23182 24912 25728 33216 34304 34773 38592 44288 46364 49824 51456 66432 69546 77184 88576 92728 99648 102912 104319 132864 139092 154368 185456 199296 208638 265728 278184 308736 370912 398592 417276 556368 741824 797184 834552 1112736 1483648 1669104 2225472 2967296 3338208 4450944 5934592 6676416 8901888 13352832 17803776 26705664 53411328