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128426208 = 2534353587
BaseRepresentation
bin1111010011110…
…10000011100000
322221122201122020
413221322003200
5230334114313
620424341440
73116414301
oct751720340
9287581566
10128426208
1166547569
1237014880
13207b7351
14130b07a8
15b41c323
hex7a7a0e0

128426208 has 96 divisors (see below), whose sum is σ = 352066176. Its totient is φ = 40954368.

The previous prime is 128426201. The next prime is 128426209. The reversal of 128426208 is 802624821.

It is a happy number.

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 (128426201) 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, 218491 + ... + 219077.

It is an arithmetic number, because the mean of its divisors is an integer number (3667356).

Almost surely, 2128426208 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 128426208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033088).

128426208 is an abundant number, since it is smaller than the sum of its proper divisors (223639968).

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

128426208 is a wasteful number, since it uses less digits than its factorization.

128426208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 128426208 is about 11332.5287557544. The cubic root of 128426208 is about 504.5271632064.

The spelling of 128426208 in words is "one hundred twenty-eight million, four hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 53 86 96 106 129 159 172 212 258 318 344 424 516 587 636 688 848 1032 1174 1272 1376 1696 1761 2064 2279 2348 2544 3522 4128 4558 4696 5088 6837 7044 9116 9392 13674 14088 18232 18784 25241 27348 28176 31111 36464 50482 54696 56352 62222 72928 75723 93333 100964 109392 124444 151446 186666 201928 218784 248888 302892 373332 403856 497776 605784 746664 807712 995552 1211568 1337773 1493328 2423136 2675546 2986656 4013319 5351092 8026638 10702184 16053276 21404368 32106552 42808736 64213104 128426208