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682117033 = 13292297901
BaseRepresentation
bin101000101010000…
…100011110101001
31202112112010122211
4220222010132221
52344110221113
6151404045121
722621620253
oct5052043651
91675463584
10682117033
11320045694
121705337a1
13ab41a760
1466840cd3
153ed3db3d
hex28a847a9

682117033 has 16 divisors (see below), whose sum is σ = 763333200. Its totient is φ = 605203200.

The previous prime is 682117013. The next prime is 682117039. The reversal of 682117033 is 330711286.

It can be written as a sum of positive squares in 8 ways, for example, as 20187049 + 661929984 = 4493^2 + 25728^2 .

It is a cyclic number.

It is not a de Polignac number, because 682117033 - 29 = 682116521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 682116986 and 682117004.

It is not an unprimeable number, because it can be changed into a prime (682117039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82383 + ... + 90283.

It is an arithmetic number, because the mean of its divisors is an integer number (47708325).

Almost surely, 2682117033 is an apocalyptic number.

It is an amenable number.

682117033 is a deficient number, since it is larger than the sum of its proper divisors (81216167).

682117033 is a wasteful number, since it uses less digits than its factorization.

682117033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 682117033 is about 26117.3703308737. The cubic root of 682117033 is about 880.2775609473.

The spelling of 682117033 in words is "six hundred eighty-two million, one hundred seventeen thousand, thirty-three".

Divisors: 1 13 29 229 377 2977 6641 7901 86333 102713 229129 1809329 2978677 23521277 52470541 682117033