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541828122 = 231143712689
BaseRepresentation
bin100000010010111…
…010010000011010
31101202112201110020
4200102322100122
52102201444442
6125433131310
716266314553
oct4022722032
91352481406
10541828122
11258936540
12131559b36
138833ba74
1451d6332a
153287b9ec
hex204ba41a

541828122 has 64 divisors (see below), whose sum is σ = 1227156480. Its totient is φ = 158054400.

The previous prime is 541828117. The next prime is 541828151. The reversal of 541828122 is 221828145.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 200154 + ... + 202842.

It is an arithmetic number, because the mean of its divisors is an integer number (19174320).

Almost surely, 2541828122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541828122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613578240).

541828122 is an abundant number, since it is smaller than the sum of its proper divisors (685328358).

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

541828122 is a wasteful number, since it uses less digits than its factorization.

541828122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819.

The product of its digits is 10240, while the sum is 33.

The square root of 541828122 is about 23277.2017648170. The cubic root of 541828122 is about 815.2431918816.

The spelling of 541828122 in words is "five hundred forty-one million, eight hundred twenty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 71 86 129 142 213 258 426 473 781 946 1419 1562 2343 2689 2838 3053 4686 5378 6106 8067 9159 16134 18318 29579 33583 59158 67166 88737 100749 115627 177474 190919 201498 231254 346881 381838 572757 693762 1145514 1271897 2100109 2543794 3815691 4200218 6300327 7631382 8209517 12600654 16419034 24628551 49257102 90304687 180609374 270914061 541828122