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541041705 = 32533735677
BaseRepresentation
bin100000001111111…
…010010000101001
31101201001202200200
4200033322100221
52102001313310
6125404222413
716256531031
oct4017722051
91351052620
10541041705
11258449706
1213123aa09
1388124b29
1451bda8c1
15327739c0
hex203fa429

541041705 has 24 divisors (see below), whose sum is σ = 940614792. Its totient is φ = 287691264.

The previous prime is 541041671. The next prime is 541041751. The reversal of 541041705 is 507140145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48734361 + 492307344 = 6981^2 + 22188^2 .

It is not a de Polignac number, because 541041705 - 214 = 541025321 is a prime.

It is a super-2 number, since 2×5410417052 = 585452253098614050, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2674 + ... + 33003.

It is an arithmetic number, because the mean of its divisors is an integer number (39192283).

Almost surely, 2541041705 is an apocalyptic number.

It is an amenable number.

541041705 is a deficient number, since it is larger than the sum of its proper divisors (399573087).

541041705 is a wasteful number, since it uses less digits than its factorization.

541041705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36025 (or 36022 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 541041705 is about 23260.3032009473. The cubic root of 541041705 is about 814.8485824062.

The spelling of 541041705 in words is "five hundred forty-one million, forty-one thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 337 1011 1685 3033 5055 15165 35677 107031 178385 321093 535155 1605465 12023149 36069447 60115745 108208341 180347235 541041705