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442103460 = 2235113197331
BaseRepresentation
bin11010010110011…
…111011010100100
31010210220011221020
4122112133122210
51401134302320
6111511451140
713645550241
oct3226373244
91123804836
10442103460
11207612967
12104086ab0
13707936a6
1442a045c8
1528c2d940
hex1a59f6a4

442103460 has 96 divisors (see below), whose sum is σ = 1258975872. Its totient is φ = 115906560.

The previous prime is 442103393. The next prime is 442103489. The reversal of 442103460 is 64301244.

It is a self number, because there is not a number n which added to its sum of digits gives 442103460.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335495 + ... + 1335825.

It is an arithmetic number, because the mean of its divisors is an integer number (13114332).

Almost surely, 2442103460 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 442103460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629487936).

442103460 is an abundant number, since it is smaller than the sum of its proper divisors (816872412).

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

442103460 is a wasteful number, since it uses less digits than its factorization.

442103460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 442103460 is about 21026.2564428383. The cubic root of 442103460 is about 761.8005898660.

The spelling of 442103460 in words is "four hundred forty-two million, one hundred three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 197 226 331 339 394 452 565 591 662 678 788 985 993 1130 1182 1324 1356 1655 1695 1970 1986 2260 2364 2955 3310 3390 3940 3972 4965 5910 6620 6780 9930 11820 19860 22261 37403 44522 65207 66783 74806 89044 111305 112209 130414 133566 149612 187015 195621 222610 224418 260828 267132 326035 333915 374030 391242 445220 448836 561045 652070 667830 748060 782484 978105 1122090 1304140 1335660 1956210 2244180 3912420 7368391 14736782 22105173 29473564 36841955 44210346 73683910 88420692 110525865 147367820 221051730 442103460