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53538360 = 2335676659
BaseRepresentation
bin1100110000111…
…0111000111000
310201202000211020
43030032320320
5102201211420
65151302440
71220032341
oct314167070
9121660736
1053538360
1128248187
1215b1aa20
13b126b05
1471790c8
154a78340
hex330ee38

53538360 has 64 divisors (see below), whose sum is σ = 163036800. Its totient is φ = 14061696.

The previous prime is 53538349. The next prime is 53538361. The reversal of 53538360 is 6383535.

53538360 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 (53538361) 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 15 ways as a sum of consecutive naturals, for example, 4711 + ... + 11369.

It is an arithmetic number, because the mean of its divisors is an integer number (2547450).

Almost surely, 253538360 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 53538360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81518400).

53538360 is an abundant number, since it is smaller than the sum of its proper divisors (109498440).

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

53538360 is a wasteful number, since it uses less digits than its factorization.

53538360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 53538360 is about 7316.9911849065. The cubic root of 53538360 is about 376.8961384864.

The spelling of 53538360 in words is "fifty-three million, five hundred thirty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 6659 8040 13318 19977 26636 33295 39954 53272 66590 79908 99885 133180 159816 199770 266360 399540 446153 799080 892306 1338459 1784612 2230765 2676918 3569224 4461530 5353836 6692295 8923060 10707672 13384590 17846120 26769180 53538360