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993053607 = 371316992141
BaseRepresentation
bin111011001100001…
…100101110100111
32120012121100110020
4323030030232213
54013210203412
6242312330223
733415550010
oct7314145647
92505540406
10993053607
1146a609967
122386a3973
1312a9774b0
1495c60007
155c2ad18c
hex3b30cba7

993053607 has 32 divisors (see below), whose sum is σ = 1631347200. Its totient is φ = 523255680.

The previous prime is 993053573. The next prime is 993053609. The reversal of 993053607 is 706350399.

It is not a de Polignac number, because 993053607 - 211 = 993051559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993053609) 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 31 ways as a sum of consecutive naturals, for example, 462757 + ... + 464897.

It is an arithmetic number, because the mean of its divisors is an integer number (50979600).

Almost surely, 2993053607 is an apocalyptic number.

993053607 is a deficient number, since it is larger than the sum of its proper divisors (638293593).

993053607 is a wasteful number, since it uses less digits than its factorization.

993053607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863.

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 993053607 is about 31512.7530850607. The cubic root of 993053607 is about 997.6791535052.

The spelling of 993053607 in words is "nine hundred ninety-three million, fifty-three thousand, six hundred seven".

Divisors: 1 3 7 13 21 39 91 273 1699 2141 5097 6423 11893 14987 22087 27833 35679 44961 66261 83499 154609 194831 463827 584493 3637559 10912677 25462913 47288267 76388739 141864801 331017869 993053607