Search a number
-
+
442278738 = 233117110487
BaseRepresentation
bin11010010111001…
…010001101010010
31010211020002101000
4122113022031102
51401210404423
6111515322430
713650210246
oct3227121522
91124202330
10442278738
11207722620
12104150416
13708253c5
1442a4c426
1528c65843
hex1a5ca352

442278738 has 64 divisors (see below), whose sum is σ = 1087395840. Its totient is φ = 132123600.

The previous prime is 442278719. The next prime is 442278743. The reversal of 442278738 is 837872244.

It is a super-2 number, since 2×4422787382 = 391220964173745288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442278693 and 442278702.

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, 36931 + ... + 47417.

It is an arithmetic number, because the mean of its divisors is an integer number (16990560).

Almost surely, 2442278738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442278738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543697920).

442278738 is an abundant number, since it is smaller than the sum of its proper divisors (645117102).

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

442278738 is a wasteful number, since it uses less digits than its factorization.

442278738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10574 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 442278738 is about 21030.4241041402. The cubic root of 442278738 is about 761.9012520063.

The spelling of 442278738 in words is "four hundred forty-two million, two hundred seventy-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 297 426 594 639 781 1278 1562 1917 2343 3834 4686 7029 10487 14058 20974 21087 31461 42174 62922 94383 115357 188766 230714 283149 346071 566298 692142 744577 1038213 1489154 2076426 2233731 3114639 4467462 6229278 6701193 8190347 13402386 16380694 20103579 24571041 40207158 49142082 73713123 147426246 221139369 442278738