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53386080 = 25351110111
BaseRepresentation
bin1100101110100…
…1101101100000
310201110021221020
43023221231200
5102131323310
65144125440
71215526356
oct313515540
9121407836
1053386080
1128153830
1215a66880
13b0a26c7
1471397d6
154a48170
hex32e9b60

53386080 has 96 divisors (see below), whose sum is σ = 183472128. Its totient is φ = 12940800.

The previous prime is 53386049. The next prime is 53386093. The reversal of 53386080 is 8068335.

53386080 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 225 + ... + 10335.

It is an arithmetic number, because the mean of its divisors is an integer number (1911168).

Almost surely, 253386080 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 53386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91736064).

53386080 is an abundant number, since it is smaller than the sum of its proper divisors (130086048).

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

53386080 is a wasteful number, since it uses less digits than its factorization.

53386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53386080 is about 7306.5778583411. The cubic root of 53386080 is about 376.5384619505.

The spelling of 53386080 in words is "fifty-three million, three hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 10111 20222 30333 40444 50555 60666 80888 101110 111221 121332 151665 161776 202220 222442 242664 303330 323552 333663 404440 444884 485328 556105 606660 667326 808880 889768 970656 1112210 1213320 1334652 1617760 1668315 1779536 2224420 2426640 2669304 3336630 3559072 4448840 4853280 5338608 6673260 8897680 10677216 13346520 17795360 26693040 53386080