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542636430 = 235717971567
BaseRepresentation
bin100000010101111…
…111100110001110
31101211001210020120
4200111333212032
52102403331210
6125502325410
716306222260
oct4025774616
91354053216
10542636430
11259338866
12131889866
138856295b
14520d3b30
153298b270
hex2057f98e

542636430 has 128 divisors (see below), whose sum is σ = 1593188352. Its totient is φ = 115458048.

The previous prime is 542636407. The next prime is 542636441. The reversal of 542636430 is 34636245.

It is a junction number, because it is equal to n+sod(n) for n = 542636391 and 542636400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345507 + ... + 347073.

It is an arithmetic number, because the mean of its divisors is an integer number (12446784).

Almost surely, 2542636430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542636430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796594176).

542636430 is an abundant number, since it is smaller than the sum of its proper divisors (1050551922).

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

542636430 is a wasteful number, since it uses less digits than its factorization.

542636430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698.

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 542636430 is about 23294.5579481560. The cubic root of 542636430 is about 815.6483881375.

The spelling of 542636430 in words is "five hundred forty-two million, six hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 97 102 105 119 170 194 210 238 255 291 357 485 510 582 595 679 714 970 1190 1358 1455 1567 1649 1785 2037 2910 3134 3298 3395 3570 4074 4701 4947 6790 7835 8245 9402 9894 10185 10969 11543 15670 16490 20370 21938 23086 23505 24735 26639 32907 34629 47010 49470 53278 54845 57715 65814 69258 79917 109690 115430 133195 151999 159834 164535 173145 186473 266390 303998 329070 346290 372946 399585 455997 559419 759995 799170 911994 932365 1063993 1118838 1519990 1864730 2127986 2279985 2583983 2797095 3191979 4559970 5167966 5319965 5594190 6383958 7751949 10639930 12919915 15503898 15959895 18087881 25839830 31919790 36175762 38759745 54263643 77519490 90439405 108527286 180878810 271318215 542636430