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2005044525 = 3252114119759
BaseRepresentation
bin111011110000010…
…1000110100101101
312011201211211000100
41313200220310231
513101242411100
6530543021313
7100454411601
oct16740506455
95151754010
102005044525
119398826a0
1247b59a839
1325c5224a3
1415040d501
15bb05c400
hex77828d2d

2005044525 has 72 divisors (see below), whose sum is σ = 4013493120. Its totient is φ = 948384000.

The previous prime is 2005044469. The next prime is 2005044551. The reversal of 2005044525 is 5254405002.

2005044525 is a `hidden beast` number, since 200 + 5 + 0 + 4 + 452 + 5 = 666.

2005044525 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2005044525 - 27 = 2005044397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91596 + ... + 111354.

It is an arithmetic number, because the mean of its divisors is an integer number (55742960).

Almost surely, 22005044525 is an apocalyptic number.

2005044525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005044525 is an abundant number, since it is smaller than the sum of its proper divisors (2008448595).

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

2005044525 is a wasteful number, since it uses less digits than its factorization.

2005044525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19827 (or 19819 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2005044525 is about 44777.7235352580. The cubic root of 2005044525 is about 1260.9794444158.

Adding to 2005044525 its reverse (5254405002), we get a palindrome (7259449527).

The spelling of 2005044525 in words is "two billion, five million, forty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 123 165 205 225 275 369 451 495 615 825 1025 1353 1845 2255 2475 3075 4059 6765 9225 11275 19759 20295 33825 59277 98795 101475 177831 217349 296385 493975 652047 810119 889155 1086745 1481925 1956141 2430357 3260235 4050595 4445775 5433725 7291071 8911309 9780705 12151785 16301175 20252975 26733927 36455355 44556545 48903525 60758925 80201781 133669635 182276775 222782725 401008905 668348175 2005044525