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444484405 = 54710331831
BaseRepresentation
bin11010011111100…
…100101100110101
31010222101010222101
4122133210230311
51402242000110
6112034502101
714005024621
oct3237445465
91128333871
10444484405
11208999792
12104a34931
1371118331
1443064181
152904e13a
hex1a7e4b35

444484405 has 16 divisors (see below), whose sum is σ = 545554944. Its totient is φ = 347495040.

The previous prime is 444484393. The next prime is 444484409. The reversal of 444484405 is 504484444.

It is not a de Polignac number, because 444484405 - 25 = 444484373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444484409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241840 + ... + 243670.

It is an arithmetic number, because the mean of its divisors is an integer number (34097184).

Almost surely, 2444484405 is an apocalyptic number.

It is an amenable number.

444484405 is a deficient number, since it is larger than the sum of its proper divisors (101070539).

444484405 is a wasteful number, since it uses less digits than its factorization.

444484405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916.

The product of its (nonzero) digits is 163840, while the sum is 37.

The square root of 444484405 is about 21082.7987942778. The cubic root of 444484405 is about 763.1656993920.

It can be divided in two parts, 444484 and 405, that added together give a square (444889 = 6672).

The spelling of 444484405 in words is "four hundred forty-four million, four hundred eighty-four thousand, four hundred five".

Divisors: 1 5 47 235 1033 1831 5165 9155 48551 86057 242755 430285 1891423 9457115 88896881 444484405