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19998288 = 24321131229
BaseRepresentation
bin100110001001…
…0011001010000
31101122000111100
41030102121100
520104421123
61552344400
7331661022
oct114223120
941560440
1019998288
111031a012
126845100
1341b270b
142928012
151b50643
hex1312650

19998288 has 60 divisors (see below), whose sum is σ = 56508660. Its totient is φ = 6601728.

The previous prime is 19998263. The next prime is 19998337. The reversal of 19998288 is 88289991.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 9809424 = 3192^2 + 3132^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15658 + ... + 16886.

It is an arithmetic number, because the mean of its divisors is an integer number (941811).

Almost surely, 219998288 is an apocalyptic number.

19998288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19998288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254330).

19998288 is an abundant number, since it is smaller than the sum of its proper divisors (36510372).

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

19998288 is a wasteful number, since it uses less digits than its factorization.

19998288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1347 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The square root of 19998288 is about 4471.9445434844. The cubic root of 19998288 is about 271.4340163002.

The spelling of 19998288 in words is "nineteen million, nine hundred ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1229 1356 1808 2034 2458 2712 3687 4068 4916 5424 7374 8136 9832 11061 14748 16272 19664 22122 29496 44244 58992 88488 138877 176976 277754 416631 555508 833262 1111016 1249893 1666524 2222032 2499786 3333048 4999572 6666096 9999144 19998288