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442474608 = 24373197641
BaseRepresentation
bin11010010111111…
…010000001110000
31010211121001001110
4122113322001300
51401233141413
6111523433320
713651654302
oct3227720160
91124531043
10442474608
112078467a4
12104225840
13708935c4
1442a9d972
1528ca38c3
hex1a5fa070

442474608 has 80 divisors (see below), whose sum is σ = 1166416416. Its totient is φ = 144506880.

The previous prime is 442474579. The next prime is 442474609. The reversal of 442474608 is 806474244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442474609) 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, 689968 + ... + 690608.

Almost surely, 2442474608 is an apocalyptic number.

442474608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442474608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583208208).

442474608 is an abundant number, since it is smaller than the sum of its proper divisors (723941808).

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

442474608 is a wasteful number, since it uses less digits than its factorization.

442474608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 442474608 is about 21035.0804134427. The cubic root of 442474608 is about 762.0137086697.

The spelling of 442474608 in words is "four hundred forty-two million, four hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 197 219 292 394 438 584 591 641 788 876 1168 1182 1282 1576 1752 1923 2364 2564 3152 3504 3846 4728 5128 7692 9456 10256 14381 15384 28762 30768 43143 46793 57524 86286 93586 115048 126277 140379 172572 187172 230096 252554 280758 345144 374344 378831 505108 561516 690288 748688 757662 1010216 1123032 1515324 2020432 2246064 3030648 6061296 9218221 18436442 27654663 36872884 55309326 73745768 110618652 147491536 221237304 442474608