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441793431 = 32313742797
BaseRepresentation
bin11010010101010…
…011101110010111
31010210022102122200
4122111103232113
51401044342211
6111501055543
713643116332
oct3225235627
91123272580
10441793431
11207420a42
12103b575b3
13706b5541
1442963619
1528bbbb56
hex1a553b97

441793431 has 24 divisors (see below), whose sum is σ = 676550784. Its totient is φ = 277318080.

The previous prime is 441793423. The next prime is 441793483. The reversal of 441793431 is 134397144.

It is not a de Polignac number, because 441793431 - 23 = 441793423 is a prime.

It is a super-2 number, since 2×4417934312 = 390362871349503522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441793411) 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 23 ways as a sum of consecutive naturals, for example, 11076 + ... + 31721.

It is an arithmetic number, because the mean of its divisors is an integer number (28189616).

Almost surely, 2441793431 is an apocalyptic number.

441793431 is a deficient number, since it is larger than the sum of its proper divisors (234757353).

441793431 is a wasteful number, since it uses less digits than its factorization.

441793431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42871 (or 42868 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 441793431 is about 21018.8827248263. The cubic root of 441793431 is about 761.6224750688.

The spelling of 441793431 in words is "four hundred forty-one million, seven hundred ninety-three thousand, four hundred thirty-one".

Divisors: 1 3 9 31 37 93 111 279 333 1147 3441 10323 42797 128391 385173 1326707 1583489 3980121 4750467 11940363 14251401 49088159 147264477 441793431