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444250431 = 3249361159
BaseRepresentation
bin11010011110101…
…011100100111111
31010221221021000200
4122132223210333
51402212003211
6112025454543
714003031522
oct3236534477
91127837020
10444250431
11208849a19
12104941453
13710659a1
1443002bb9
1529004b56
hex1a7ab93f

444250431 has 6 divisors (see below), whose sum is σ = 641695080. Its totient is φ = 296166948.

The previous prime is 444250427. The next prime is 444250441. The reversal of 444250431 is 134052444.

It is a happy number.

It is not a de Polignac number, because 444250431 - 22 = 444250427 is a prime.

It is a super-2 number, since 2×4442504312 = 394716890887371522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444250395 and 444250404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444250421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24680571 + ... + 24680588.

It is an arithmetic number, because the mean of its divisors is an integer number (106949180).

Almost surely, 2444250431 is an apocalyptic number.

444250431 is a deficient number, since it is larger than the sum of its proper divisors (197444649).

444250431 is a wasteful number, since it uses less digits than its factorization.

444250431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49361165 (or 49361162 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 444250431 is about 21077.2491326549. The cubic root of 444250431 is about 763.0317672303.

The spelling of 444250431 in words is "four hundred forty-four million, two hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 9 49361159 148083477 444250431