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19943808 = 273167311
BaseRepresentation
bin100110000010…
…1000110000000
31101112020202120
41030011012000
520101200213
61551244240
7331343133
oct114050600
941466676
1019943808
1110292095
126819680
134193991
14291221a
151b3e423
hex1305180

19943808 has 64 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 6586880.

The previous prime is 19943801. The next prime is 19943809. The reversal of 19943808 is 80834991.

19943808 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 19943808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19943801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63973 + ... + 64283.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 219943808 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 19943808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

19943808 is an abundant number, since it is smaller than the sum of its proper divisors (33520512).

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

19943808 is a wasteful number, since it uses less digits than its factorization.

19943808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

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

The square root of 19943808 is about 4465.8490794025. The cubic root of 19943808 is about 271.1873089492.

The spelling of 19943808 in words is "nineteen million, nine hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 311 334 384 501 622 668 933 1002 1244 1336 1866 2004 2488 2672 3732 4008 4976 5344 7464 8016 9952 10688 14928 16032 19904 21376 29856 32064 39808 51937 59712 64128 103874 119424 155811 207748 311622 415496 623244 830992 1246488 1661984 2492976 3323968 4985952 6647936 9971904 19943808