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2056632500 = 22541363281
BaseRepresentation
bin111101010010101…
…1011100010110100
312022022220202102002
41322211123202310
513202444220000
6540024434432
7101652042056
oct17245334264
95268822362
102056632500
11965a0848a
12494918a18
1326a115610
141571db8d6
15c084c8d5
hex7a95b8b4

2056632500 has 60 divisors (see below), whose sum is σ = 4843477716. Its totient is φ = 759360000.

The previous prime is 2056632499. The next prime is 2056632503. The reversal of 2056632500 is 52366502.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2032386724 + 24245776 = 45082^2 + 4924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056632503) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 860 + ... + 64140.

Almost surely, 22056632500 is an apocalyptic number.

2056632500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421738858).

2056632500 is an abundant number, since it is smaller than the sum of its proper divisors (2786845216).

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

2056632500 is a wasteful number, since it uses less digits than its factorization.

2056632500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63318 (or 63301 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 2056632500 is about 45350.1102534492. The cubic root of 2056632500 is about 1271.7026164558.

The spelling of 2056632500 in words is "two billion, fifty-six million, six hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3250 6500 8125 16250 32500 63281 126562 253124 316405 632810 822653 1265620 1582025 1645306 3164050 3290612 4113265 6328100 7910125 8226530 15820250 16453060 20566325 31640500 39550625 41132650 79101250 82265300 102831625 158202500 205663250 411326500 514158125 1028316250 2056632500