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412202052 = 223237309461
BaseRepresentation
bin11000100100011…
…011010001000100
31001201122000220200
4120210123101010
51321010431202
6104522530500
713133442153
oct3044332104
91051560820
10412202052
111a174a559
12b6066a30
1367524552
143ca5d59a
15262c3e1c
hex1891b444

412202052 has 36 divisors (see below), whose sum is σ = 1070119596. Its totient is φ = 133686720.

The previous prime is 412202051. The next prime is 412202057. The reversal of 412202052 is 250202214.

412202052 is a `hidden beast` number, since 412 + 202 + 0 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 326380356 + 85821696 = 18066^2 + 9264^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412202051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153399 + ... + 156062.

Almost surely, 2412202052 is an apocalyptic number.

It is an amenable number.

412202052 is an abundant number, since it is smaller than the sum of its proper divisors (657917544).

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

412202052 is a wasteful number, since it uses less digits than its factorization.

412202052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309508 (or 309503 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 412202052 is about 20302.7597138911. The cubic root of 412202052 is about 744.2235063838.

Adding to 412202052 its reverse (250202214), we get a palindrome (662404266).

The spelling of 412202052 in words is "four hundred twelve million, two hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 309461 618922 928383 1237844 1856766 2785149 3713532 5570298 11140596 11450057 22900114 34350171 45800228 68700342 103050513 137400684 206101026 412202052