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8290829 = 73137829
BaseRepresentation
bin11111101000001000001101
3120121012212202
4133220020031
54110301304
6453411245
7130320341
oct37501015
916535782
108290829
114753028
122939b25
131943921
14115b621
15adb81e
hex7e820d

8290829 has 8 divisors (see below), whose sum is σ = 8475960. Its totient is φ = 8107776.

The previous prime is 8290819. The next prime is 8290831. The reversal of 8290829 is 9280928.

It can be written as a sum of positive squares in 4 ways, for example, as 1965604 + 6325225 = 1402^2 + 2515^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8290829 - 216 = 8225293 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8290792 and 8290801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290819) 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 7 ways as a sum of consecutive naturals, for example, 9587 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (1059495).

Almost surely, 28290829 is an apocalyptic number.

It is an amenable number.

8290829 is a deficient number, since it is larger than the sum of its proper divisors (185131).

8290829 is a wasteful number, since it uses less digits than its factorization.

8290829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 8290829 is about 2879.3799679792. The cubic root of 8290829 is about 202.3947855599.

Subtracting 8290829 from its reverse (9280928), we obtain a palindrome (990099).

It can be divided in two parts, 8290 and 829, that added together give a palindrome (9119).

The spelling of 8290829 in words is "eight million, two hundred ninety thousand, eight hundred twenty-nine".

Divisors: 1 73 137 829 10001 60517 113573 8290829