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528661248 = 2835771193
BaseRepresentation
bin11111100000101…
…011101100000000
31100211202202220020
4133200223230000
52040314124443
6124243013440
716046355303
oct3740535400
91324682806
10528661248
11251463025
1212906a280
13856ab90b
14502d6b3a
153162a583
hex1f82bb00

528661248 has 72 divisors (see below), whose sum is σ = 1410629808. Its totient is φ = 175767552.

The previous prime is 528661241. The next prime is 528661261. The reversal of 528661248 is 842166825.

It is not an unprimeable number, because it can be changed into a prime (528661241) 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 7 ways as a sum of consecutive naturals, for example, 442540 + ... + 443732.

Almost surely, 2528661248 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 528661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705314904).

528661248 is an abundant number, since it is smaller than the sum of its proper divisors (881968560).

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

528661248 is a wasteful number, since it uses less digits than its factorization.

528661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1775 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 528661248 is about 22992.6346467733. The cubic root of 528661248 is about 808.5852701735.

The spelling of 528661248 in words is "five hundred twenty-eight million, six hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 577 768 1154 1193 1731 2308 2386 3462 3579 4616 4772 6924 7158 9232 9544 13848 14316 18464 19088 27696 28632 36928 38176 55392 57264 73856 76352 110784 114528 147712 152704 221568 229056 305408 443136 458112 688361 916224 1376722 2065083 2753444 4130166 5506888 8260332 11013776 16520664 22027552 33041328 44055104 66082656 88110208 132165312 176220416 264330624 528661248