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996435727 = 72167263463
BaseRepresentation
bin111011011001000…
…110011100001111
32120102222011211221
4323121012130033
54020041420402
6242513024211
733456364300
oct7331063417
92512864757
10996435727
11471509a01
12239855067
1312b58ca51
14964a07a7
155c72a337
hex3b64670f

996435727 has 24 divisors (see below), whose sum is σ = 1173021696. Its totient is φ = 843918768.

The previous prime is 996435721. The next prime is 996435779. The reversal of 996435727 is 727534699.

It is a de Polignac number, because none of the positive numbers 2k-996435727 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996435721) 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, 2151898 + ... + 2152360.

It is an arithmetic number, because the mean of its divisors is an integer number (48875904).

Almost surely, 2996435727 is an apocalyptic number.

996435727 is the 25774-th pentagonal number.

996435727 is a deficient number, since it is larger than the sum of its proper divisors (176585969).

996435727 is a wasteful number, since it uses less digits than its factorization.

996435727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 52.

The square root of 996435727 is about 31566.3701904416. The cubic root of 996435727 is about 998.8104946380.

The spelling of 996435727 in words is "nine hundred ninety-six million, four hundred thirty-five thousand, seven hundred twenty-seven".

Divisors: 1 7 49 167 263 463 1169 1841 3241 8183 12887 22687 43921 77321 121769 307447 541247 852383 2152129 3788729 5966681 20335423 142347961 996435727