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442867350 = 23526314679
BaseRepresentation
bin11010011001011…
…001111010010110
31010212022222210110
4122121121322112
51401333223400
6111540103450
713655211312
oct3231317226
91125288713
10442867350
11207a94882
12104394b86
13709a02b3
1442b62b42
1528d2ee50
hex1a659e96

442867350 has 48 divisors (see below), whose sum is σ = 1100286720. Its totient is φ = 117885600.

The previous prime is 442867339. The next prime is 442867351. The reversal of 442867350 is 53768244.

It is a happy number.

It is a super-2 number, since 2×4428673502 = 392262979392045000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442867299 and 442867308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442867351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92311 + ... + 96989.

It is an arithmetic number, because the mean of its divisors is an integer number (22922640).

Almost surely, 2442867350 is an apocalyptic number.

442867350 is an abundant number, since it is smaller than the sum of its proper divisors (657419370).

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

442867350 is a wasteful number, since it uses less digits than its factorization.

442867350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5325 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 442867350 is about 21044.4137480710. The cubic root of 442867350 is about 762.2390973364.

The spelling of 442867350 in words is "four hundred forty-two million, eight hundred sixty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 631 1262 1893 3155 3786 4679 6310 9358 9465 14037 15775 18930 23395 28074 31550 46790 47325 70185 94650 116975 140370 233950 350925 701850 2952449 5904898 8857347 14762245 17714694 29524490 44286735 73811225 88573470 147622450 221433675 442867350