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53605728 = 25321116921
BaseRepresentation
bin1100110001111…
…1010101100000
310201212110020100
43030133111200
5102210340403
65152542400
71220432631
oct314372540
9121773210
1053605728
1128293860
1215b51a00
13b14b687
147195888
154a8d2a3
hex331f560

53605728 has 72 divisors (see below), whose sum is σ = 166309416. Its totient is φ = 16243200.

The previous prime is 53605723. The next prime is 53605729. The reversal of 53605728 is 82750635.

53605728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 53605692 and 53605701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53605723) 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, 5293 + ... + 11628.

It is an arithmetic number, because the mean of its divisors is an integer number (2309853).

Almost surely, 253605728 is an apocalyptic number.

It is an amenable number.

53605728 is an abundant number, since it is smaller than the sum of its proper divisors (112703688).

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

53605728 is a wasteful number, since it uses less digits than its factorization.

53605728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16948 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53605728 is about 7321.5932692277. The cubic root of 53605728 is about 377.0541566293.

The spelling of 53605728 in words is "fifty-three million, six hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 16921 33842 50763 67684 101526 135368 152289 186131 203052 270736 304578 372262 406104 541472 558393 609156 744524 812208 1116786 1218312 1489048 1624416 1675179 2233572 2436624 2978096 3350358 4467144 4873248 5956192 6700716 8934288 13401432 17868576 26802864 53605728