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20443248 = 24327171193
BaseRepresentation
bin100110111111…
…1000001110000
31102110121212100
41031333001300
520213140443
62010100400
7335523210
oct115770160
942417770
1020443248
11105a3351
126a1a700
13430a0c7
142a02240
151bdc3d3
hex137f070

20443248 has 120 divisors (see below), whose sum is σ = 69290208. Its totient is φ = 5492736.

The previous prime is 20443201. The next prime is 20443249. The reversal of 20443248 is 84234402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20443249) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16540 + ... + 17732.

Almost surely, 220443248 is an apocalyptic number.

20443248 is a gapful number since it is divisible by the number (28) 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 20443248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645104).

20443248 is an abundant number, since it is smaller than the sum of its proper divisors (48846960).

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

20443248 is a wasteful number, since it uses less digits than its factorization.

20443248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 20443248 is about 4521.4210155658. The cubic root of 20443248 is about 273.4323945256.

It can be divided in two parts, 204432 and 48, that added together give a triangular number (204480 = T639).

The spelling of 20443248 in words is "twenty million, four hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1193 1224 1428 1904 2142 2386 2448 2856 3579 4284 4772 5712 7158 8351 8568 9544 10737 14316 16702 17136 19088 20281 21474 25053 28632 33404 40562 42948 50106 57264 60843 66808 75159 81124 85896 100212 121686 133616 141967 150318 162248 171792 182529 200424 243372 283934 300636 324496 365058 400848 425901 486744 567868 601272 730116 851802 973488 1135736 1202544 1277703 1460232 1703604 2271472 2555406 2920464 3407208 5110812 6814416 10221624 20443248