Search a number
-
+
128508282 = 2347216189
BaseRepresentation
bin1111010100011…
…10000101111010
322221210220020000
413222032011322
5230344231112
620430213430
73120205500
oct752160572
9287726200
10128508282
11665a31a1
1237054276
1320815806
14130d2670
15b4367dc
hex7a8e17a

128508282 has 60 divisors (see below), whose sum is σ = 334987290. Its totient is φ = 36714384.

The previous prime is 128508271. The next prime is 128508301. The reversal of 128508282 is 282805821.

It is a happy number.

128508282 is a `hidden beast` number, since 128 + 508 + 28 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110691441 + 17816841 = 10521^2 + 4221^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 157 + ... + 16032.

Almost surely, 2128508282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128508282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167493645).

128508282 is an abundant number, since it is smaller than the sum of its proper divisors (206479008).

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

128508282 is a wasteful number, since it uses less digits than its factorization.

128508282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16217 (or 16201 counting only the distinct ones).

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

The square root of 128508282 is about 11336.1493462286. The cubic root of 128508282 is about 504.6346172459.

The spelling of 128508282 in words is "one hundred twenty-eight million, five hundred eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 16189 32378 48567 97134 113323 145701 226646 291402 339969 437103 679938 793261 874206 1019907 1311309 1586522 2039814 2379783 2622618 3059721 4759566 6119442 7139349 9179163 14278698 18358326 21418047 42836094 64254141 128508282