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19839408 = 2431741593
BaseRepresentation
bin100101110101…
…1100110110000
31101022221112220
41023223212300
520034330113
61545121040
7330426561
oct113534660
941287486
1019839408
1110220706
126789180
1341582c4
1428c6168
151b1d523
hex12eb9b0

19839408 has 80 divisors (see below), whose sum is σ = 55683936. Its totient is φ = 6062080.

The previous prime is 19839373. The next prime is 19839427. The reversal of 19839408 is 80493891.

It is a self number, because there is not a number n which added to its sum of digits gives 19839408.

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 15 ways as a sum of consecutive naturals, for example, 33160 + ... + 33752.

Almost surely, 219839408 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 19839408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27841968).

19839408 is an abundant number, since it is smaller than the sum of its proper divisors (35844528).

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

19839408 is a wasteful number, since it uses less digits than its factorization.

19839408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 19839408 is about 4454.1450358065. The cubic root of 19839408 is about 270.7132854523.

The spelling of 19839408 in words is "nineteen million, eight hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 492 593 656 697 816 984 1186 1394 1779 1968 2091 2372 2788 3558 4182 4744 5576 7116 8364 9488 10081 11152 14232 16728 20162 24313 28464 30243 33456 40324 48626 60486 72939 80648 97252 120972 145878 161296 194504 241944 291756 389008 413321 483888 583512 826642 1167024 1239963 1653284 2479926 3306568 4959852 6613136 9919704 19839408