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442284260 = 2251111317791
BaseRepresentation
bin11010010111001…
…011100011100100
31010211020100221112
4122113023203210
51401211044020
6111515404152
713650232325
oct3227134344
91124210845
10442284260
11207726790
12104153658
1370827a82
1442a5044c
1528c672c5
hex1a5cb8e4

442284260 has 48 divisors (see below), whose sum is σ = 1022257152. Its totient is φ = 159398400.

The previous prime is 442284259. The next prime is 442284277. The reversal of 442284260 is 62482244.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15965 + ... + 33755.

It is an arithmetic number, because the mean of its divisors is an integer number (21297024).

Almost surely, 2442284260 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 442284260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511128576).

442284260 is an abundant number, since it is smaller than the sum of its proper divisors (579972892).

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

442284260 is a wasteful number, since it uses less digits than its factorization.

442284260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17924 (or 17922 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 442284260 is about 21030.5553897181. Note that the first 3 decimals coincide. The cubic root of 442284260 is about 761.9044228582.

The spelling of 442284260 in words is "four hundred forty-two million, two hundred eighty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4972 6215 12430 17791 24860 35582 71164 88955 177910 195701 355820 391402 782804 978505 1957010 2010383 3914020 4020766 8041532 10051915 20103830 22114213 40207660 44228426 88456852 110571065 221142130 442284260