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442687860 = 223253078011
BaseRepresentation
bin11010011000101…
…110000101110100
31010211222212120200
4122120232011310
51401312002420
6111532200500
713653533106
oct3230560564
91124885520
10442687860
11207981a3a
12104309130
13709396a4
1442b17576
1528ce6b90
hex1a62e174

442687860 has 72 divisors (see below), whose sum is σ = 1347362016. Its totient is φ = 117650880.

The previous prime is 442687849. The next prime is 442687867. The reversal of 442687860 is 68786244.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442687867) 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, 51255 + ... + 59265.

Almost surely, 2442687860 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 442687860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673681008).

442687860 is an abundant number, since it is smaller than the sum of its proper divisors (904674156).

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

442687860 is a wasteful number, since it uses less digits than its factorization.

442687860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 442687860 is about 21040.1487637326. The cubic root of 442687860 is about 762.1361072929.

The spelling of 442687860 in words is "four hundred forty-two million, six hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 8011 9210 11052 13815 16022 18420 24033 27630 32044 40055 48066 55260 72099 80110 96132 120165 144198 160220 240330 288396 360495 480660 720990 1441980 2459377 4918754 7378131 9837508 12296885 14756262 22134393 24593770 29512524 36890655 44268786 49187540 73781310 88537572 110671965 147562620 221343930 442687860