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541341648 = 24327275171
BaseRepresentation
bin100000010001000…
…011011111010000
31101201122000010200
4200101003133100
52102040413043
6125414455200
716262220351
oct4021033720
91351560120
10541341648
11258633aa1
12131364500
13881cb503
1451c77d28
15327d27d3
hex204437d0

541341648 has 60 divisors (see below), whose sum is σ = 1517382048. Its totient is φ = 180164160.

The previous prime is 541341641. The next prime is 541341653. The reversal of 541341648 is 846143145.

541341648 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 4 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541341641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102103 + ... + 107273.

Almost surely, 2541341648 is an apocalyptic number.

It is an amenable number.

541341648 is an abundant number, since it is smaller than the sum of its proper divisors (976040400).

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

541341648 is a wasteful number, since it uses less digits than its factorization.

541341648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5903 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 541341648 is about 23266.7498374827. The cubic root of 541341648 is about 814.9991333249. Note that the first 3 decimals are identical.

The spelling of 541341648 in words is "five hundred forty-one million, three hundred forty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 727 1454 2181 2908 4362 5171 5816 6543 8724 10342 11632 13086 15513 17448 20684 26172 31026 34896 41368 46539 52344 62052 82736 93078 104688 124104 186156 248208 372312 744624 3759317 7518634 11277951 15037268 22555902 30074536 33833853 45111804 60149072 67667706 90223608 135335412 180447216 270670824 541341648