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442143984 = 243193671321
BaseRepresentation
bin11010010110101…
…001010011110000
31010210222020112010
4122112221103300
51401142101414
6111512402520
713646106342
oct3226512360
91123866463
10442143984
11207640357
121040a6440
13707a8c79
1442a15292
1528c3a959
hex1a5a94f0

442143984 has 80 divisors (see below), whose sum is σ = 1206510080. Its totient is φ = 139138560.

The previous prime is 442143983. The next prime is 442143997. The reversal of 442143984 is 489341244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442143983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334044 + ... + 335364.

It is an arithmetic number, because the mean of its divisors is an integer number (15081376).

Almost surely, 2442143984 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 442143984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603255040).

442143984 is an abundant number, since it is smaller than the sum of its proper divisors (764366096).

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

442143984 is a wasteful number, since it uses less digits than its factorization.

442143984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1712 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 442143984 is about 21027.2200730387. The cubic root of 442143984 is about 761.8238651599.

The spelling of 442143984 in words is "four hundred forty-two million, one hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 367 456 734 912 1101 1321 1468 2202 2642 2936 3963 4404 5284 5872 6973 7926 8808 10568 13946 15852 17616 20919 21136 25099 27892 31704 41838 50198 55784 63408 75297 83676 100396 111568 150594 167352 200792 301188 334704 401584 484807 602376 969614 1204752 1454421 1939228 2908842 3878456 5817684 7756912 9211333 11635368 18422666 23270736 27633999 36845332 55267998 73690664 110535996 147381328 221071992 442143984