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128485008 = 243359712
BaseRepresentation
bin1111010100010…
…00011010010000
322221202201022000
413222020122100
5230343010013
620425514000
73120050601
oct752103220
9287681260
10128485008
1166587763
1237042900
1320808042
14130c7da8
15b42e973
hex7a88690

128485008 has 120 divisors (see below), whose sum is σ = 380407200. Its totient is φ = 41509440.

The previous prime is 128485003. The next prime is 128485033. The reversal of 128485008 is 800584821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128485001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1809613 + ... + 1809683.

It is an arithmetic number, because the mean of its divisors is an integer number (3170060).

Almost surely, 2128485008 is an apocalyptic number.

128485008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128485008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190203600).

128485008 is an abundant number, since it is smaller than the sum of its proper divisors (251922192).

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

128485008 is an equidigital number, since it uses as much as digits as its factorization.

128485008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 128485008 is about 11335.1227606939. The cubic root of 128485008 is about 504.6041507913.

The spelling of 128485008 in words is "one hundred twenty-eight million, four hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 71 72 108 118 142 144 177 213 216 236 284 354 426 432 472 531 568 639 708 852 944 1062 1136 1278 1416 1593 1704 1917 2124 2556 2832 3186 3408 3834 4189 4248 5041 5112 6372 7668 8378 8496 10082 10224 12567 12744 15123 15336 16756 20164 25134 25488 30246 30672 33512 37701 40328 45369 50268 60492 67024 75402 80656 90738 100536 113103 120984 136107 150804 181476 201072 226206 241968 272214 297419 301608 362952 452412 544428 594838 603216 725904 892257 904824 1088856 1189676 1784514 1809648 2177712 2379352 2676771 3569028 4758704 5353542 7138056 8030313 10707084 14276112 16060626 21414168 32121252 42828336 64242504 128485008