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447057 = 32133821
BaseRepresentation
bin1101101001001010001
3211201020200
41231021101
5103301212
613325413
73541242
oct1551121
9751220
10447057
11285976
12196869
13128640
14b8cc9
158c6dc
hex6d251

447057 has 12 divisors (see below), whose sum is σ = 695604. Its totient is φ = 275040.

The previous prime is 447053. The next prime is 447067. The reversal of 447057 is 750744.

It can be written as a sum of positive squares in 2 ways, for example, as 239121 + 207936 = 489^2 + 456^2 .

It is not a de Polignac number, because 447057 - 22 = 447053 is a prime.

It is a super-2 number, since 2×4470572 = 399719922498, which contains 22 as substring.

447057 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 447057.

It is not an unprimeable number, because it can be changed into a prime (447053) 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, 1794 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (57967).

2447057 is an apocalyptic number.

It is an amenable number.

447057 is a deficient number, since it is larger than the sum of its proper divisors (248547).

447057 is a wasteful number, since it uses less digits than its factorization.

447057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 447057 is about 668.6232122803. The cubic root of 447057 is about 76.4635222732.

The spelling of 447057 in words is "four hundred forty-seven thousand, fifty-seven".

Divisors: 1 3 9 13 39 117 3821 11463 34389 49673 149019 447057