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540728550 = 232527611579
BaseRepresentation
bin100000001110101…
…101110011100110
31101200110212010100
4200032231303212
52101411303200
6125353404530
716254055035
oct4016556346
91350425110
10540728550
112582553aa
12131109746
138804542b
1451b5871c
1532710d00
hex203adce6

540728550 has 72 divisors (see below), whose sum is σ = 1455587640. Its totient is φ = 143913600.

The previous prime is 540728549. The next prime is 540728557. The reversal of 540728550 is 55827045.

It is a happy number.

540728550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540728557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341661 + ... + 343239.

It is an arithmetic number, because the mean of its divisors is an integer number (20216495).

Almost surely, 2540728550 is an apocalyptic number.

540728550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540728550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727793820).

540728550 is an abundant number, since it is smaller than the sum of its proper divisors (914859090).

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

540728550 is a wasteful number, since it uses less digits than its factorization.

540728550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 540728550 is about 23253.5706935516. The cubic root of 540728550 is about 814.6913405812.

The spelling of 540728550 in words is "five hundred forty million, seven hundred twenty-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 761 1522 1579 2283 3158 3805 4566 4737 6849 7610 7895 9474 11415 13698 14211 15790 19025 22830 23685 28422 34245 38050 39475 47370 57075 68490 71055 78950 114150 118425 142110 171225 236850 342450 355275 710550 1201619 2403238 3604857 6008095 7209714 10814571 12016190 18024285 21629142 30040475 36048570 54072855 60080950 90121425 108145710 180242850 270364275 540728550