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2005425252 = 223289625913
BaseRepresentation
bin111011110001000…
…0101110001100100
312011202120011021100
41313202011301210
513101342102002
6530555120100
7100460555565
oct16742056144
95152504240
102005425252
1193a012746
1247b743030
1325c62687c
141504ac16c
15bb0d511c
hex77885c64

2005425252 has 36 divisors (see below), whose sum is σ = 5126235660. Its totient is φ = 660963072.

The previous prime is 2005425229. The next prime is 2005425259. The reversal of 2005425252 is 2525245002.

2005425252 is a `hidden beast` number, since 20 + 0 + 542 + 52 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1015441956 + 989983296 = 31866^2 + 31464^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2005425259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309753 + ... + 316160.

It is an arithmetic number, because the mean of its divisors is an integer number (142395435).

Almost surely, 22005425252 is an apocalyptic number.

It is an amenable number.

2005425252 is an abundant number, since it is smaller than the sum of its proper divisors (3120810408).

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

2005425252 is a wasteful number, since it uses less digits than its factorization.

2005425252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626012 (or 626007 counting only the distinct ones).

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

The square root of 2005425252 is about 44781.9746326577. The cubic root of 2005425252 is about 1261.0592528741.

The spelling of 2005425252 in words is "two billion, five million, four hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 625913 1251826 1877739 2503652 3755478 5633217 7510956 11266434 22532868 55706257 111412514 167118771 222825028 334237542 501356313 668475084 1002712626 2005425252