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840829249 = 1331920143
BaseRepresentation
bin110010000111100…
…000100101000001
32011121011112220001
4302013200211001
53210223013444
6215233520001
726556634141
oct6207404501
92147145801
10840829249
113a1698507
121b5713001
1310527a000
147d956921
154dc3e8d4
hex321e0941

840829249 has 16 divisors (see below), whose sum is σ = 958854400. Its totient is φ = 735263568.

The previous prime is 840829247. The next prime is 840829291. The reversal of 840829249 is 942928048.

It is not a de Polignac number, because 840829249 - 21 = 840829247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 840829199 and 840829208.

It is not an unprimeable number, because it can be changed into a prime (840829247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31672 + ... + 51814.

It is an arithmetic number, because the mean of its divisors is an integer number (59928400).

Almost surely, 2840829249 is an apocalyptic number.

It is an amenable number.

840829249 is a deficient number, since it is larger than the sum of its proper divisors (118025151).

840829249 is a wasteful number, since it uses less digits than its factorization.

840829249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20201 (or 20175 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 840829249 is about 28997.0558677946. The cubic root of 840829249 is about 943.8491814890.

The spelling of 840829249 in words is "eight hundred forty million, eight hundred twenty-nine thousand, two hundred forty-nine".

Divisors: 1 13 19 169 247 2197 3211 20143 41743 261859 382717 3404167 4975321 44254171 64679173 840829249