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993205944 = 233216384629
BaseRepresentation
bin111011001100110…
…001111010111000
32120012220002102100
4323030301322320
54013230042234
6242315503400
733420053103
oct7314617270
92505802370
10993205944
1146a703365
12238757b60
1312a9cb933
1495c9d73a
155c2dd399
hex3b331eb8

993205944 has 48 divisors (see below), whose sum is σ = 2706467400. Its totient is φ = 329033664.

The previous prime is 993205903. The next prime is 993205979. The reversal of 993205944 is 449502399.

It is a happy number.

It is a super-2 number, since 2×9932059442 = 1972916094393862272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 993205944.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30579 + ... + 54050.

Almost surely, 2993205944 is an apocalyptic number.

It is an amenable number.

993205944 is an abundant number, since it is smaller than the sum of its proper divisors (1713261456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

993205944 is a wasteful number, since it uses less digits than its factorization.

993205944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84804 (or 84797 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 993205944 is about 31515.1700614165. The cubic root of 993205944 is about 997.7301664204.

The spelling of 993205944 in words is "nine hundred ninety-three million, two hundred five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 11736 84629 169258 253887 338516 507774 677032 761661 1015548 1523322 2031096 3046644 6093288 13794527 27589054 41383581 55178108 82767162 110356216 124150743 165534324 248301486 331068648 496602972 993205944