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442819984 = 2461453709
BaseRepresentation
bin11010011001001…
…110010110010000
31010212020120211011
4122121032112100
51401330214414
6111535100304
713654623235
oct3231162620
91125216734
10442819984
11207a62232
12104371694
1370984879
1442b4d78c
1528d20dc4
hex1a64e590

442819984 has 20 divisors (see below), whose sum is σ = 872030620. Its totient is φ = 217779840.

The previous prime is 442819933. The next prime is 442819991. The reversal of 442819984 is 489918244.

It can be written as a sum of positive squares in 2 ways, for example, as 17305600 + 425514384 = 4160^2 + 20628^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225879 + ... + 227830.

It is an arithmetic number, because the mean of its divisors is an integer number (43601531).

Almost surely, 2442819984 is an apocalyptic number.

It is an amenable number.

442819984 is a deficient number, since it is larger than the sum of its proper divisors (429210636).

442819984 is a wasteful number, since it uses less digits than its factorization.

442819984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453778 (or 453772 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 442819984 is about 21043.2883361893. The cubic root of 442819984 is about 762.2119217767.

The spelling of 442819984 in words is "four hundred forty-two million, eight hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 61 122 244 488 976 453709 907418 1814836 3629672 7259344 27676249 55352498 110704996 221409992 442819984