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542432313 = 32612693673
BaseRepresentation
bin100000010101001…
…101110000111001
31101210200102020200
4200111031300321
52102330313223
6125454112413
716304412213
oct4025156071
91353612220
10542432313
11259209475
121317ab709
13884c0a87
145207d5b3
153294aa43
hex2054dc39

542432313 has 24 divisors (see below), whose sum is σ = 799535880. Its totient is φ = 354274560.

The previous prime is 542432279. The next prime is 542432323. The reversal of 542432313 is 313234245.

542432313 is a `hidden beast` number, since 5 + 424 + 3 + 231 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96884649 + 445547664 = 9843^2 + 21108^2 .

It is not a de Polignac number, because 542432313 - 210 = 542431289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542432323) by changing a digit.

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, 145845 + ... + 149517.

It is an arithmetic number, because the mean of its divisors is an integer number (33313995).

Almost surely, 2542432313 is an apocalyptic number.

It is an amenable number.

542432313 is a deficient number, since it is larger than the sum of its proper divisors (257103567).

542432313 is a wasteful number, since it uses less digits than its factorization.

542432313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4006 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 542432313 is about 23290.1763196417. The cubic root of 542432313 is about 815.5461044398.

Adding to 542432313 its reverse (313234245), we get a palindrome (855666558).

The spelling of 542432313 in words is "five hundred forty-two million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 61 183 269 549 807 2421 3673 11019 16409 33057 49227 147681 224053 672159 988037 2016477 2964111 8892333 60270257 180810771 542432313