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128208288 = 25313176043
BaseRepresentation
bin1111010010001…
…00110110100000
322221020122201010
413221010312200
5230310131123
620415540520
73114516045
oct751046640
9287218633
10128208288
116640886a
1236b2a740
132073c0c0
14130551cc
15b3c7993
hex7a44da0

128208288 has 96 divisors (see below), whose sum is σ = 383818176. Its totient is φ = 37122048.

The previous prime is 128208287. The next prime is 128208317. The reversal of 128208288 is 882802821.

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

It is a super-2 number, since 2×1282082882 = 32874730223781888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (128208287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18195 + ... + 24237.

It is an arithmetic number, because the mean of its divisors is an integer number (3998106).

Almost surely, 2128208288 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 128208288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191909088).

128208288 is an abundant number, since it is smaller than the sum of its proper divisors (255609888).

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

128208288 is a wasteful number, since it uses less digits than its factorization.

128208288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6078 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 128208288 is about 11322.9098733497. The cubic root of 128208288 is about 504.2416326868.

The spelling of 128208288 in words is "one hundred twenty-eight million, two hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 312 408 416 442 544 624 663 816 884 1248 1326 1632 1768 2652 3536 5304 6043 7072 10608 12086 18129 21216 24172 36258 48344 72516 78559 96688 102731 145032 157118 193376 205462 235677 290064 308193 314236 410924 471354 580128 616386 628472 821848 942708 1232772 1256944 1335503 1643696 1885416 2465544 2513888 2671006 3287392 3770832 4006509 4931088 5342012 7541664 8013018 9862176 10684024 16026036 21368048 32052072 42736096 64104144 128208288