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18128448 = 263413269
BaseRepresentation
bin100010100100…
…1111001000000
31021010000120000
41011021321000
514120102243
61444320000
7310042422
oct105117100
937100500
1018128448
11a262198
1260a3000
1339a95c0
14259c812
1518d15d3
hex1149e40

18128448 has 140 divisors (see below), whose sum is σ = 58087260. Its totient is φ = 5557248.

The previous prime is 18128441. The next prime is 18128449. The reversal of 18128448 is 84482181.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 16257024 = 1368^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (18128441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67258 + ... + 67526.

It is an arithmetic number, because the mean of its divisors is an integer number (414909).

Almost surely, 218128448 is an apocalyptic number.

18128448 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 18128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29043630).

18128448 is an abundant number, since it is smaller than the sum of its proper divisors (39958812).

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

18128448 is a wasteful number, since it uses less digits than its factorization.

18128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 18128448 is about 4257.7515192881. The cubic root of 18128448 is about 262.6960494614.

The spelling of 18128448 in words is "eighteen million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 269 288 312 324 351 416 432 468 538 576 624 648 702 807 832 864 936 1053 1076 1248 1296 1404 1614 1728 1872 2106 2152 2421 2496 2592 2808 3228 3497 3744 4212 4304 4842 5184 5616 6456 6994 7263 7488 8424 8608 9684 10491 11232 12912 13988 14526 16848 17216 19368 20982 21789 22464 25824 27976 29052 31473 33696 38736 41964 43578 51648 55952 58104 62946 67392 77472 83928 87156 94419 111904 116208 125892 154944 167856 174312 188838 223808 232416 251784 283257 335712 348624 377676 464832 503568 566514 671424 697248 755352 1007136 1133028 1394496 1510704 2014272 2266056 3021408 4532112 6042816 9064224 18128448