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19988192 = 2571729181
BaseRepresentation
bin100110000111…
…1111011100000
31101121111122102
41030033323200
520104110232
61552225532
7331616420
oct114177340
941544572
1019988192
1110312474
12683b2a8
1341aac43
142924480
151b4c662
hex130fee0

19988192 has 96 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 7741440.

The previous prime is 19988183. The next prime is 19988233. The reversal of 19988192 is 29188991.

It is a congruent number.

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, 110342 + ... + 110522.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 219988192 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 19988192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

19988192 is an abundant number, since it is smaller than the sum of its proper divisors (29544928).

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

19988192 is a wasteful number, since it uses less digits than its factorization.

19988192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its digits is 93312, while the sum is 47.

The square root of 19988192 is about 4470.8155855504. The cubic root of 19988192 is about 271.3883314043.

The spelling of 19988192 in words is "nineteen million, nine hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 68 112 116 119 136 181 203 224 232 238 272 362 406 464 476 493 544 724 812 928 952 986 1267 1448 1624 1904 1972 2534 2896 3077 3248 3451 3808 3944 5068 5249 5792 6154 6496 6902 7888 10136 10498 12308 13804 15776 20272 20996 21539 24616 27608 36743 40544 41992 43078 49232 55216 73486 83984 86156 89233 98464 110432 146972 167968 172312 178466 293944 344624 356932 587888 624631 689248 713864 1175776 1249262 1427728 2498524 2855456 4997048 9994096 19988192