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542353505 = 5295370573
BaseRepresentation
bin100000010100111…
…010100001100001
31101210112102010212
4200110322201201
52102320303010
6125452303505
716303633361
oct4024724141
91353472125
10542353505
11259165241
12131771b95
1388493c45
145205c9a1
1532932505
hex2053a861

542353505 has 16 divisors (see below), whose sum is σ = 685979280. Its totient is φ = 411011328.

The previous prime is 542353459. The next prime is 542353523. The reversal of 542353505 is 505353245.

It can be written as a sum of positive squares in 8 ways, for example, as 5180176 + 537173329 = 2276^2 + 23177^2 .

It is a cyclic number.

It is not a de Polignac number, because 542353505 - 216 = 542287969 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 27602 + ... + 42971.

It is an arithmetic number, because the mean of its divisors is an integer number (42873705).

Almost surely, 2542353505 is an apocalyptic number.

It is an amenable number.

542353505 is a deficient number, since it is larger than the sum of its proper divisors (143625775).

542353505 is a wasteful number, since it uses less digits than its factorization.

542353505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70660.

The product of its (nonzero) digits is 45000, while the sum is 32.

The square root of 542353505 is about 23288.4843860651. The cubic root of 542353505 is about 815.5066066268.

The spelling of 542353505 in words is "five hundred forty-two million, three hundred fifty-three thousand, five hundred five".

Divisors: 1 5 29 53 145 265 1537 7685 70573 352865 2046617 3740369 10233085 18701845 108470701 542353505