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53302284 = 22327434919
BaseRepresentation
bin1100101101010…
…1010000001100
310201022000222200
43023111100030
5102121133114
65142241500
71215030150
oct313252014
9121260880
1053302284
11280a6882
1215a26290
13b073519
147117060
154a2d409
hex32d540c

53302284 has 72 divisors (see below), whose sum is σ = 157597440. Its totient is φ = 14872032.

The previous prime is 53302231. The next prime is 53302289. The reversal of 53302284 is 48220335.

It is a super-2 number, since 2×533022842 = 5682266959233312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53302289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8377 + ... + 13295.

Almost surely, 253302284 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 53302284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78798720).

53302284 is an abundant number, since it is smaller than the sum of its proper divisors (104295156).

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

53302284 is a wasteful number, since it uses less digits than its factorization.

53302284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53302284 is about 7300.8413213821. The cubic root of 53302284 is about 376.3413510192.

The spelling of 53302284 in words is "fifty-three million, three hundred two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 4919 5418 9838 10836 14757 19676 29514 34433 44271 59028 68866 88542 103299 137732 177084 206598 211517 309897 413196 423034 619794 634551 846068 1239588 1269102 1480619 1903653 2538204 2961238 3807306 4441857 5922476 7614612 8883714 13325571 17767428 26651142 53302284