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53291760 = 2435233953
BaseRepresentation
bin1100101101001…
…0101011110000
310201021111112220
43023102223300
5102120314020
65142121040
71214654364
oct313225360
9121244486
1053291760
1128099985
1215a20180
13b06b7b2
1471132a4
154a2a240
hex32d2af0

53291760 has 80 divisors (see below), whose sum is σ = 166087584. Its totient is φ = 14135296.

The previous prime is 53291743. The next prime is 53291761. The reversal of 53291760 is 6719235.

53291760 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 (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53291761) 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, 55444 + ... + 56396.

Almost surely, 253291760 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 53291760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83043792).

53291760 is an abundant number, since it is smaller than the sum of its proper divisors (112795824).

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

53291760 is a wasteful number, since it uses less digits than its factorization.

53291760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 53291760 is about 7300.1205469499. The cubic root of 53291760 is about 376.3165811171.

The spelling of 53291760 in words is "fifty-three million, two hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 953 1165 1398 1864 1906 2330 2796 2859 3495 3728 3812 4660 4765 5592 5718 6990 7624 9320 9530 11184 11436 13980 14295 15248 18640 19060 22872 27960 28590 38120 45744 55920 57180 76240 114360 222049 228720 444098 666147 888196 1110245 1332294 1776392 2220490 2664588 3330735 3552784 4440980 5329176 6661470 8881960 10658352 13322940 17763920 26645880 53291760