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56520307600 = 2452118872
BaseRepresentation
bin110100101000110111…
…110111001110010000
312101212222221010010221
4310220313313032100
51411223144320400
641544242202424
74040424454621
oct645067671620
9171788833127
1056520307600
1121a74270719
12ab54653414
135439880cc3
142a4269da48
15170c007c1a
hexd28df7390

56520307600 has 45 divisors (see below), whose sum is σ = 135801463377. Its totient is φ = 22606221120.

The previous prime is 56520307583. The next prime is 56520307607. The reversal of 56520307600 is 670302565.

The square root of 56520307600 is 237740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20347310736 + 36172996864 = 142644^2 + 190192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56520307607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4748857 + ... + 4760743.

Almost surely, 256520307600 is an apocalyptic number.

56520307600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56520307600 is the 237740-th square number.

It is an amenable number.

56520307600 is an abundant number, since it is smaller than the sum of its proper divisors (79281155777).

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

56520307600 is an frugal number, since it uses more digits than its factorization.

56520307600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23792 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 56520307600 in words is "fifty-six billion, five hundred twenty million, three hundred seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 11887 23774 47548 59435 95096 118870 190192 237740 297175 475480 594350 950960 1188700 2377400 4754800 141300769 282601538 565203076 706503845 1130406152 1413007690 2260812304 2826015380 3532519225 5652030760 7065038450 11304061520 14130076900 28260153800 56520307600