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82508033 = 88319343
BaseRepresentation
bin1001110101011…
…11100100000001
312202020211202002
410322233210001
5132110224113
612104233345
72021210126
oct472574401
9182224662
1082508033
1142634563
122376b855
131412ab2a
14ad5a74d
15739bc58
hex4eaf901

82508033 has 4 divisors (see below), whose sum is σ = 82526208. Its totient is φ = 82489860.

The previous prime is 82508009. The next prime is 82508071. The reversal of 82508033 is 33080528.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82508033 - 216 = 82442497 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 = 82507987 and 82508005.

It is not an unprimeable number, because it can be changed into a prime (82508093) 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 3 ways as a sum of consecutive naturals, for example, 4160 + ... + 13502.

It is an arithmetic number, because the mean of its divisors is an integer number (20631552).

Almost surely, 282508033 is an apocalyptic number.

It is an amenable number.

82508033 is a deficient number, since it is larger than the sum of its proper divisors (18175).

82508033 is an equidigital number, since it uses as much as digits as its factorization.

82508033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18174.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 82508033 is about 9083.3932536250. The cubic root of 82508033 is about 435.3435133969.

The spelling of 82508033 in words is "eighty-two million, five hundred eight thousand, thirty-three".

Divisors: 1 8831 9343 82508033