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422991504 = 243313109691
BaseRepresentation
bin11001001101100…
…101011010010000
31002110221012021000
4121031211122100
51331241212004
6105550102000
713324240245
oct3115453220
91073835230
10422991504
111a7849861
12b97aa900
1369831540
144026b5cc
1527205c39
hex19365690

422991504 has 160 divisors (see below), whose sum is σ = 1321443200. Its totient is φ = 128770560.

The previous prime is 422991469. The next prime is 422991523. The reversal of 422991504 is 405199224.

422991504 is a `hidden beast` number, since 42 + 29 + 91 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 611799 + ... + 612489.

It is an arithmetic number, because the mean of its divisors is an integer number (8259020).

Almost surely, 2422991504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422991504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660721600).

422991504 is an abundant number, since it is smaller than the sum of its proper divisors (898451696).

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

422991504 is a wasteful number, since it uses less digits than its factorization.

422991504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 422991504 is about 20566.7572553380. The cubic root of 422991504 is about 750.6610491808.

The spelling of 422991504 in words is "four hundred twenty-two million, nine hundred ninety-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 109 117 144 156 208 216 218 234 312 327 351 432 436 468 624 654 691 702 872 936 981 1308 1382 1404 1417 1744 1872 1962 2073 2616 2764 2808 2834 2943 3924 4146 4251 5232 5528 5616 5668 5886 6219 7848 8292 8502 8983 11056 11336 11772 12438 12753 15696 16584 17004 17966 18657 22672 23544 24876 25506 26949 33168 34008 35932 37314 38259 47088 49752 51012 53898 68016 71864 74628 75319 76518 80847 99504 102024 107796 143728 149256 150638 153036 161694 204048 215592 225957 242541 298512 301276 306072 323388 431184 451914 485082 602552 612144 646776 677871 903828 970164 979147 1205104 1293552 1355742 1807656 1940328 1958294 2033613 2711484 2937441 3615312 3880656 3916588 4067226 5422968 5874882 7833176 8134452 8812323 10845936 11749764 15666352 16268904 17624646 23499528 26436969 32537808 35249292 46999056 52873938 70498584 105747876 140997168 211495752 422991504