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542324466 = 232374119861
BaseRepresentation
bin100000010100110…
…011011011110010
31101210110221022100
4200110303123302
52102313340331
6125451521230
716303452615
oct4024633362
91353427270
10542324466
11259145442
12131759216
1388483968
145205217c
1532928ae6
hex205336f2

542324466 has 48 divisors (see below), whose sum is σ = 1236290328. Its totient is φ = 171590400.

The previous prime is 542324459. The next prime is 542324479. The reversal of 542324466 is 664423245.

It can be written as a sum of positive squares in 4 ways, for example, as 271557441 + 270767025 = 16479^2 + 16455^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 542324466.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17376 + ... + 37236.

Almost surely, 2542324466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542324466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618145164).

542324466 is an abundant number, since it is smaller than the sum of its proper divisors (693965862).

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

542324466 is a wasteful number, since it uses less digits than its factorization.

542324466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19947 (or 19944 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 542324466 is about 23287.8609150776. The cubic root of 542324466 is about 815.4920515941.

The spelling of 542324466 in words is "five hundred forty-two million, three hundred twenty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 3034 4551 9102 13653 19861 27306 39722 59583 119166 178749 357498 734857 814301 1469714 1628602 2204571 2442903 4409142 4885806 6613713 7328709 13227426 14657418 30129137 60258274 90387411 180774822 271162233 542324466