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3827317 = 133773109
BaseRepresentation
bin1110100110011001110101
321012110002111
432212121311
51434433232
6214011021
744350234
oct16463165
97173074
103827317
11218457a
121346a71
13a400b0
14718b1b
15509047
hex3a6675

3827317 has 16 divisors (see below), whose sum is σ = 4330480. Its totient is φ = 3359232.

The previous prime is 3827297. The next prime is 3827339. The reversal of 3827317 is 7137283.

It can be written as a sum of positive squares in 8 ways, for example, as 106276 + 3721041 = 326^2 + 1929^2 .

It is a 8-Lehmer number, since φ(3827317) divides (3827317-1)8.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3827317 is a prime.

3827317 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827347) 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, 35059 + ... + 35167.

It is an arithmetic number, because the mean of its divisors is an integer number (270655).

Almost surely, 23827317 is an apocalyptic number.

3827317 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3827317 is a deficient number, since it is larger than the sum of its proper divisors (503163).

3827317 is a wasteful number, since it uses less digits than its factorization.

3827317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its digits is 7056, while the sum is 31.

The square root of 3827317 is about 1956.3529845097. The cubic root of 3827317 is about 156.4221117866.

The spelling of 3827317 in words is "three million, eight hundred twenty-seven thousand, three hundred seventeen".

Divisors: 1 13 37 73 109 481 949 1417 2701 4033 7957 35113 52429 103441 294409 3827317