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542835712 = 2104711279
BaseRepresentation
bin100000010110110…
…000010000000000
31101211102220121101
4200112300100000
52102431220322
6125510504144
716311012256
oct4026602000
91354386541
10542835712
11259464561
12131965054
1388602583
14521465d6
15329ca327
hex205b0400

542835712 has 44 divisors (see below), whose sum is σ = 1108327680. Its totient is φ = 265619456.

The previous prime is 542835707. The next prime is 542835731. The reversal of 542835712 is 217538245.

It is a super-2 number, since 2×5428357122 = 589341220445093888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42489 + ... + 53767.

Almost surely, 2542835712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542835712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554163840).

542835712 is an abundant number, since it is smaller than the sum of its proper divisors (565491968).

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

542835712 is a wasteful number, since it uses less digits than its factorization.

542835712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 11328 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 542835712 is about 23298.8349923338. The cubic root of 542835712 is about 815.7482242581.

It can be divided in two parts, 54283 and 5712, that added together give a palindrome (59995).

The spelling of 542835712 in words is "five hundred forty-two million, eight hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1024 1504 3008 6016 11279 12032 22558 24064 45116 48128 90232 180464 360928 530113 721856 1060226 1443712 2120452 2887424 4240904 5774848 8481808 11549696 16963616 33927232 67854464 135708928 271417856 542835712