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128233248 = 25311139341
BaseRepresentation
bin1111010010010…
…10111100100000
322221021220221120
413221022330200
5230311430443
620420252240
73114651603
oct751127440
9287256846
10128233248
11664255a0
1236b41080
132074a580
141306033a
15b3d0083
hex7a4af20

128233248 has 96 divisors (see below), whose sum is σ = 395502912. Its totient is φ = 35865600.

The previous prime is 128233207. The next prime is 128233279. The reversal of 128233248 is 842332821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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, 9058 + ... + 18398.

It is an arithmetic number, because the mean of its divisors is an integer number (4119822).

Almost surely, 2128233248 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 128233248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197751456).

128233248 is an abundant number, since it is smaller than the sum of its proper divisors (267269664).

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

128233248 is a wasteful number, since it uses less digits than its factorization.

128233248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9378 (or 9370 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 128233248 is about 11324.0120098841. The cubic root of 128233248 is about 504.2743530220.

The spelling of 128233248 in words is "one hundred twenty-eight million, two hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 9341 13728 18682 28023 37364 56046 74728 102751 112092 121433 149456 205502 224184 242866 298912 308253 364299 411004 448368 485732 616506 728598 822008 896736 971464 1233012 1335763 1457196 1644016 1942928 2466024 2671526 2914392 3288032 3885856 4007289 4932048 5343052 5828784 8014578 9864096 10686104 11657568 16029156 21372208 32058312 42744416 64116624 128233248