Search a number
-
+
442321530 = 23572412179
BaseRepresentation
bin11010010111010…
…100101001111010
31010211022021001220
4122113110221322
51401213242110
6111520252510
713650446100
oct3227245172
91124267056
10442321530
11207751792
12104171136
137083ba21
1442a5dc70
1528c73370
hex1a5d4a7a

442321530 has 144 divisors (see below), whose sum is σ = 1272814560. Its totient is φ = 98085120.

The previous prime is 442321511. The next prime is 442321567. The reversal of 442321530 is 35123244.

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 442321530.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2470981 + ... + 2471159.

It is an arithmetic number, because the mean of its divisors is an integer number (8838990).

Almost surely, 2442321530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442321530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636407280).

442321530 is an abundant number, since it is smaller than the sum of its proper divisors (830493030).

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

442321530 is a wasteful number, since it uses less digits than its factorization.

442321530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 442321530 is about 21031.4414627243. The cubic root of 442321530 is about 761.9258234090.

Adding to 442321530 its reverse (35123244), we get a palindrome (477444774).

The spelling of 442321530 in words is "four hundred forty-two million, three hundred twenty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 70 82 98 105 123 147 179 205 210 245 246 287 294 358 410 490 537 574 615 735 861 895 1074 1230 1253 1435 1470 1681 1722 1790 2009 2506 2685 2870 3362 3759 4018 4305 5043 5370 6027 6265 7339 7518 8405 8610 8771 10045 10086 11767 12054 12530 14678 16810 17542 18795 20090 22017 23534 25215 26313 30135 35301 36695 37590 43855 44034 50430 51373 52626 58835 60270 70602 73390 82369 87710 102746 110085 117670 131565 154119 164738 176505 220170 247107 256865 263130 300899 308238 353010 359611 411845 494214 513730 601798 719222 770595 823690 902697 1078833 1235535 1504495 1541190 1798055 1805394 2106293 2157666 2471070 3008990 3596110 4212586 4513485 5394165 6318879 9026970 10531465 10788330 12637758 14744051 21062930 29488102 31594395 44232153 63188790 73720255 88464306 147440510 221160765 442321530