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525327680 = 26510915061
BaseRepresentation
bin11111010011111…
…101110101000000
31100121111102002202
4133103331311000
52033440441210
6124043332332
716006132403
oct3723756500
91317442082
10525327680
1124a596509
12127b210a8
1384ab24a7
144daa9d3a
15311bc9a5
hex1f4fdd40

525327680 has 56 divisors (see below), whose sum is σ = 1262496840. Its totient is φ = 208189440.

The previous prime is 525327617. The next prime is 525327697. The reversal of 525327680 is 86723525.

It can be written as a sum of positive squares in 4 ways, for example, as 152374336 + 372953344 = 12344^2 + 19312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27350 + ... + 42410.

Almost surely, 2525327680 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 525327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631248420).

525327680 is an abundant number, since it is smaller than the sum of its proper divisors (737169160).

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

525327680 is a wasteful number, since it uses less digits than its factorization.

525327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15187 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 525327680 is about 22920.0279231942. The cubic root of 525327680 is about 806.8821256608.

The spelling of 525327680 in words is "five hundred twenty-five million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6976 8720 15061 17440 30122 34880 60244 75305 120488 150610 240976 301220 481952 602440 963904 1204880 1641649 2409760 3283298 4819520 6566596 8208245 13133192 16416490 26266384 32832980 52532768 65665960 105065536 131331920 262663840 525327680