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525828528 = 243234910463
BaseRepresentation
bin11111010101111…
…000000110110000
31100122102212010200
4133111320012300
52034103003103
6124102155200
716013316531
oct3725700660
91318385120
10525828528
1124a8a8835
12128122b00
1384c29454
144db9a688
153126b0a3
hex1f5781b0

525828528 has 60 divisors (see below), whose sum is σ = 1475947200. Its totient is φ = 174757248.

The previous prime is 525828517. The next prime is 525828533. The reversal of 525828528 is 825828525.

525828528 is a `hidden beast` number, since 52 + 58 + 28 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45025 + ... + 55487.

It is an arithmetic number, because the mean of its divisors is an integer number (24599120).

Almost surely, 2525828528 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 525828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737973600).

525828528 is an abundant number, since it is smaller than the sum of its proper divisors (950118672).

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

525828528 is a wasteful number, since it uses less digits than its factorization.

525828528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10826 (or 10817 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 525828528 is about 22930.9513104014. The cubic root of 525828528 is about 807.1384716527.

The spelling of 525828528 in words is "five hundred twenty-five million, eight hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 10463 12564 16752 20926 25128 31389 41852 50256 62778 83704 94167 125556 167408 188334 251112 376668 502224 753336 1506672 3651587 7303174 10954761 14606348 21909522 29212696 32864283 43819044 58425392 65728566 87638088 131457132 175276176 262914264 525828528