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82034037 = 329114893
BaseRepresentation
bin1001110001110…
…11110101110101
312201100202112200
410320323311311
5132000042122
612050135113
72014164201
oct470736565
9181322480
1082034037
1142340428
1223581499
1313cc3167
14ac75b01
1573065ac
hex4e3bd75

82034037 has 6 divisors (see below), whose sum is σ = 118493622. Its totient is φ = 54689352.

The previous prime is 82034033. The next prime is 82034053. The reversal of 82034037 is 73043028.

It can be written as a sum of positive squares in only one way, i.e., 73513476 + 8520561 = 8574^2 + 2919^2 .

It is not a de Polignac number, because 82034037 - 22 = 82034033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82034037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82034033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4557438 + ... + 4557455.

It is an arithmetic number, because the mean of its divisors is an integer number (19748937).

Almost surely, 282034037 is an apocalyptic number.

It is an amenable number.

82034037 is a deficient number, since it is larger than the sum of its proper divisors (36459585).

82034037 is a wasteful number, since it uses less digits than its factorization.

82034037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9114899 (or 9114896 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 82034037 is about 9057.2643220787. The cubic root of 82034037 is about 434.5082512846.

The spelling of 82034037 in words is "eighty-two million, thirty-four thousand, thirty-seven".

Divisors: 1 3 9 9114893 27344679 82034037