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528109696 = 2761239283
BaseRepresentation
bin11111011110100…
…101000010000000
31100210201202022101
4133132211002000
52040144002241
6124223120144
716041600262
oct3736450200
91323652271
10528109696
112511166a4
12128a43054
138554785a
14501d1b32
153156be31
hex1f7a5080

528109696 has 64 divisors (see below), whose sum is σ = 1077609600. Its totient is φ = 257725440.

The previous prime is 528109679. The next prime is 528109723. The reversal of 528109696 is 696901825.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 1865971 + ... + 1866253.

It is an arithmetic number, because the mean of its divisors is an integer number (16837650).

Almost surely, 2528109696 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 528109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538804800).

528109696 is an abundant number, since it is smaller than the sum of its proper divisors (549499904).

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

528109696 is a wasteful number, since it uses less digits than its factorization.

528109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 528109696 is about 22980.6374150066. The cubic root of 528109696 is about 808.3039734639.

It can be divided in two parts, 528 and 109696, that added together give a square (110224 = 3322).

The spelling of 528109696 in words is "five hundred twenty-eight million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 239 244 283 478 488 566 956 976 1132 1912 1952 2264 3824 3904 4528 7648 7808 9056 14579 15296 17263 18112 29158 30592 34526 36224 58316 67637 69052 116632 135274 138104 233264 270548 276208 466528 541096 552416 933056 1082192 1104832 1866112 2164384 2209664 4125857 4328768 8251714 8657536 16503428 33006856 66013712 132027424 264054848 528109696