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128850528 = 25383103157
BaseRepresentation
bin1111010111000…
…01101001100000
322222110021200210
413223201221200
5230441204103
620441414120
73123132342
oct753415140
9288407623
10128850528
1166807344
123719a340
1320905521
1413181292
15b4a2e03
hex7ae1a60

128850528 has 96 divisors (see below), whose sum is σ = 347832576. Its totient is φ = 41753088.

The previous prime is 128850503. The next prime is 128850529. The reversal of 128850528 is 825058821.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128850529) 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 15 ways as a sum of consecutive naturals, for example, 820626 + ... + 820782.

It is an arithmetic number, because the mean of its divisors is an integer number (3623256).

Almost surely, 2128850528 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 128850528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173916288).

128850528 is an abundant number, since it is smaller than the sum of its proper divisors (218982048).

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

128850528 is a wasteful number, since it uses less digits than its factorization.

128850528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 128850528 is about 11351.2346465043. The cubic root of 128850528 is about 505.0822047011.

The spelling of 128850528 in words is "one hundred twenty-eight million, eight hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 103 157 166 206 249 309 314 332 412 471 498 618 628 664 824 942 996 1236 1256 1328 1648 1884 1992 2472 2512 2656 3296 3768 3984 4944 5024 7536 7968 8549 9888 13031 15072 16171 17098 25647 26062 32342 34196 39093 48513 51294 52124 64684 68392 78186 97026 102588 104248 129368 136784 156372 194052 205176 208496 258736 273568 312744 388104 410352 416992 517472 625488 776208 820704 1250976 1342193 1552416 2684386 4026579 5368772 8053158 10737544 16106316 21475088 32212632 42950176 64425264 128850528