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424244466 = 2364147151
BaseRepresentation
bin11001010010010…
…111010011110010
31002120021212000000
4121102113103302
51332101310331
6110033010430
713341006222
oct3122272362
91076255000
10424244466
111a8525168
12ba0b3a16
1369b7c939
14404b6082
15273a20e6
hex194974f2

424244466 has 112 divisors (see below), whose sum is σ = 1004790528. Its totient is φ = 134136000.

The previous prime is 424244441. The next prime is 424244477. The reversal of 424244466 is 664442424.

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 424244466.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2809491 + ... + 2809641.

It is an arithmetic number, because the mean of its divisors is an integer number (8971344).

Almost surely, 2424244466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424244466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502395264).

424244466 is an abundant number, since it is smaller than the sum of its proper divisors (580546062).

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

424244466 is a wasteful number, since it uses less digits than its factorization.

424244466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 424244466 is about 20597.1955858073. The cubic root of 424244466 is about 751.4015074047.

The spelling of 424244466 in words is "four hundred twenty-four million, two hundred forty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 41 47 54 81 82 94 123 141 151 162 243 246 282 302 369 423 453 486 729 738 846 906 1107 1269 1359 1458 1927 2214 2538 2718 3321 3807 3854 4077 5781 6191 6642 7097 7614 8154 9963 11421 11562 12231 12382 14194 17343 18573 19926 21291 22842 24462 29889 34263 34686 36693 37146 42582 52029 55719 59778 63873 68526 73386 104058 110079 111438 127746 156087 167157 191619 220158 290977 312174 334314 383238 468261 501471 574857 581954 872931 936522 1002942 1149714 1404783 1504413 1724571 1745862 2618793 2809566 3008826 3449142 4513239 5173713 5237586 7856379 9026478 10347426 15712758 23569137 47138274 70707411 141414822 212122233 424244466