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441000811 = 19731092917
BaseRepresentation
bin11010010010010…
…010001101101011
31010201211011101101
4122102102031223
51400344011221
6111432102231
713633305436
oct3222221553
91121734341
10441000811
11206a2a489
12103834977
1370498834
14427d881d
1528ab1d91
hex1a49236b

441000811 has 16 divisors (see below), whose sum is σ = 475050400. Its totient is φ = 408146688.

The previous prime is 441000803. The next prime is 441000853. The reversal of 441000811 is 118000144.

It is a 8-Lehmer number, since φ(441000811) divides (441000811-1)8.

It is a cyclic number.

It is not a de Polignac number, because 441000811 - 23 = 441000803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441000871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149725 + ... + 152641.

It is an arithmetic number, because the mean of its divisors is an integer number (29690650).

Almost surely, 2441000811 is an apocalyptic number.

441000811 is a deficient number, since it is larger than the sum of its proper divisors (34049589).

441000811 is a wasteful number, since it uses less digits than its factorization.

441000811 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 441000811 is about 21000.0193095149. The cubic root of 441000811 is about 761.1667276972.

Adding to 441000811 its reverse (118000144), we get a palindrome (559000955).

The spelling of 441000811 in words is "four hundred forty-one million, eight hundred eleven", and thus it is an aban number.

Divisors: 1 19 73 109 1387 2071 2917 7957 55423 151183 212941 317953 4045879 6041107 23210569 441000811