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128287488 = 28373487
BaseRepresentation
bin1111010010110…
…00001100000000
322221101200100110
413221120030000
5230320144423
620421351320
73115266000
oct751301400
9287350313
10128287488
116646231a
1236b68540
1320769174
1413076000
15b3e1193
hex7a58300

128287488 has 144 divisors (see below), whose sum is σ = 398988800. Its totient is φ = 36578304.

The previous prime is 128287477. The next prime is 128287493. The reversal of 128287488 is 884782821.

It is a super-3 number, since 3×1282874883 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263181 + ... + 263667.

Almost surely, 2128287488 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 128287488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199494400).

128287488 is an abundant number, since it is smaller than the sum of its proper divisors (270701312).

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

128287488 is an frugal number, since it uses more digits than its factorization.

128287488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 499 counting only the distinct ones).

The product of its digits is 458752, while the sum is 48.

The square root of 128287488 is about 11326.4066676065. The cubic root of 128287488 is about 504.3454421918.

The spelling of 128287488 in words is "one hundred twenty-eight million, two hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 487 588 672 686 768 784 896 974 1029 1176 1344 1372 1461 1568 1792 1948 2058 2352 2688 2744 2922 3136 3409 3896 4116 4704 5376 5488 5844 6272 6818 7792 8232 9408 10227 10976 11688 12544 13636 15584 16464 18816 20454 21952 23376 23863 27272 31168 32928 37632 40908 43904 46752 47726 54544 62336 65856 71589 81816 87808 93504 95452 109088 124672 131712 143178 163632 167041 187008 190904 218176 263424 286356 327264 334082 374016 381808 436352 501123 572712 654528 668164 763616 872704 1002246 1145424 1309056 1336328 1527232 2004492 2290848 2618112 2672656 3054464 4008984 4581696 5345312 6108928 8017968 9163392 10690624 16035936 18326784 21381248 32071872 42762496 64143744 128287488