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441005146 = 22937892309
BaseRepresentation
bin11010010010010…
…011010001011010
31010201211101022221
4122102103101122
51400344131041
6111432134254
713633324201
oct3222232132
91121741287
10441005146
11206a3276a
1210383738a
137049a7ba
14427da238
1528ab32d1
hex1a49345a

441005146 has 32 divisors (see below), whose sum is σ = 711018000. Its totient is φ = 204728832.

The previous prime is 441005113. The next prime is 441005167. The reversal of 441005146 is 641500144.

It can be written as a sum of positive squares in 8 ways, for example, as 328878225 + 112126921 = 18135^2 + 10589^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 441005146.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 189840 + ... + 192148.

Almost surely, 2441005146 is an apocalyptic number.

441005146 is a deficient number, since it is larger than the sum of its proper divisors (270012854).

441005146 is a wasteful number, since it uses less digits than its factorization.

441005146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466.

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 441005146 is about 21000.1225234521. The cubic root of 441005146 is about 761.1692217569.

The spelling of 441005146 in words is "four hundred forty-one million, five thousand, one hundred forty-six".

Divisors: 1 2 29 37 58 74 89 178 1073 2146 2309 2581 3293 4618 5162 6586 66961 85433 95497 133922 170866 190994 205501 411002 2477557 4955114 5959529 7603537 11919058 15207074 220502573 441005146