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542365425 = 325273741227
BaseRepresentation
bin100000010100111…
…101011011110001
31101210120000111100
4200110331123301
52102321143200
6125452435013
716304013210
oct4024753361
91353500440
10542365425
11259173198
12131778a69
13884994b4
1452063077
1532935d00
hex2053d6f1

542365425 has 144 divisors (see below), whose sum is σ = 1173174912. Its totient is φ = 234316800.

The previous prime is 542365423. The next prime is 542365451. The reversal of 542365425 is 524563245.

542365425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 542365425 - 21 = 542365423 is a prime.

Its product of digits (144000) is a multiple of the sum of its prime divisors (320).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 542365425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542365423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2389162 + ... + 2389388.

It is an arithmetic number, because the mean of its divisors is an integer number (8147048).

Almost surely, 2542365425 is an apocalyptic number.

It is an amenable number.

542365425 is an abundant number, since it is smaller than the sum of its proper divisors (630809487).

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

542365425 is a wasteful number, since it uses less digits than its factorization.

542365425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 542365425 is about 23288.7403051346. The cubic root of 542365425 is about 815.5125810620.

The spelling of 542365425 in words is "five hundred forty-two million, three hundred sixty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 41 45 63 75 105 111 123 175 185 205 225 227 259 287 315 333 369 525 555 615 681 777 861 925 1025 1135 1295 1435 1517 1575 1589 1665 1845 2043 2331 2583 2775 3075 3405 3885 4305 4551 4767 5675 6475 7175 7585 7945 8325 8399 9225 9307 10215 10619 11655 12915 13653 14301 17025 19425 21525 22755 23835 25197 27921 31857 37925 39725 41995 46535 51075 53095 58275 58793 64575 65149 68265 71505 75591 83763 95571 113775 119175 125985 139605 159285 176379 195447 209975 232675 265475 293965 325745 341325 344359 357525 377955 418815 477855 529137 586341 629925 698025 796425 881895 977235 1033077 1469825 1628725 1721795 1889775 2094075 2389275 2410513 2645685 2931705 3099231 4409475 4886175 5165385 7231539 8608975 12052565 13228425 14658525 15496155 21694617 25826925 36157695 60262825 77480775 108473085 180788475 542365425