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542840319 = 33723151827
BaseRepresentation
bin100000010110110…
…001010111111111
31101211110010221000
4200112301113333
52102431342234
6125510541343
716311031560
oct4026612777
91354403830
10542840319
11259467a6a
12131967853
13886046b8
1452148167
15329cb899
hex205b15ff

542840319 has 64 divisors (see below), whose sum is σ = 966574080. Its totient is φ = 294386400.

The previous prime is 542840261. The next prime is 542840327. The reversal of 542840319 is 913048245.

542840319 is a `hidden beast` number, since 542 + 84 + 0 + 31 + 9 = 666.

It is not a de Polignac number, because 542840319 - 29 = 542839807 is a prime.

It is a super-2 number, since 2×5428403192 = 589351223864043522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542840329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655984 + ... + 656810.

It is an arithmetic number, because the mean of its divisors is an integer number (15102720).

Almost surely, 2542840319 is an apocalyptic number.

542840319 is a deficient number, since it is larger than the sum of its proper divisors (423733761).

542840319 is a wasteful number, since it uses less digits than its factorization.

542840319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 542840319 is about 23298.9338597284. The cubic root of 542840319 is about 815.7505319799.

The spelling of 542840319 in words is "five hundred forty-two million, eight hundred forty thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 23 27 63 69 151 161 189 207 453 483 621 827 1057 1359 1449 2481 3171 3473 4077 4347 5789 7443 9513 10419 17367 19021 22329 24311 28539 31257 52101 57063 72933 93771 124877 133147 156303 171189 218799 374631 399441 513567 656397 874139 1123893 1198323 2622417 2872171 3371679 3594969 7867251 8616513 20105197 23601753 25849539 60315591 77548617 180946773 542840319