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415051072 = 2610959497
BaseRepresentation
bin11000101111010…
…010110101000000
31001220222210000221
4120233102311000
51322223113242
6105103552424
713166606302
oct3057226500
91056883027
10415051072
111a3316017
12b6bbb714
1367cb1267
143d1a1972
1526688167
hex18bd2d40

415051072 has 28 divisors (see below), whose sum is σ = 831187060. Its totient is φ = 205618176.

The previous prime is 415051061. The next prime is 415051079. The reversal of 415051072 is 270150514.

It can be written as a sum of positive squares in 2 ways, for example, as 265820416 + 149230656 = 16304^2 + 12216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415051079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22773 + ... + 36724.

Almost surely, 2415051072 is an apocalyptic number.

It is an amenable number.

415051072 is an abundant number, since it is smaller than the sum of its proper divisors (416135988).

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

415051072 is a wasteful number, since it uses less digits than its factorization.

415051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59618 (or 59608 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 415051072 is about 20372.8022618392. The cubic root of 415051072 is about 745.9341895576.

The spelling of 415051072 in words is "four hundred fifteen million, fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 59497 118994 237988 475976 951952 1903904 3807808 6485173 12970346 25940692 51881384 103762768 207525536 415051072