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19808672 = 2513172801
BaseRepresentation
bin100101110010…
…0000110100000
31101021101101112
41023210012200
520032334142
61544322452
7330241142
oct113440640
941241345
1019808672
11101aa604
126773428
134147310
1428b8c92
151b14382
hex12e41a0

19808672 has 48 divisors (see below), whose sum is σ = 44484552. Its totient is φ = 8601600.

The previous prime is 19808647. The next prime is 19808683. The reversal of 19808672 is 27680891.

It can be written as a sum of positive squares in 4 ways, for example, as 16289296 + 3519376 = 4036^2 + 1876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5672 + ... + 8472.

Almost surely, 219808672 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 19808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22242276).

19808672 is an abundant number, since it is smaller than the sum of its proper divisors (24675880).

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

19808672 is a wasteful number, since it uses less digits than its factorization.

19808672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 19808672 is about 4450.6934291187. The cubic root of 19808672 is about 270.5734132657.

The spelling of 19808672 in words is "nineteen million, eight hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 2801 3536 5602 7072 11204 22408 36413 44816 47617 72826 89632 95234 145652 190468 291304 380936 582608 619021 761872 1165216 1238042 1523744 2476084 4952168 9904336 19808672