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82047364 = 22726472
BaseRepresentation
bin1001110001111…
…11000110000100
312201101102211021
410320333012010
5132001003424
612050320524
72014251100
oct470770604
9181342737
1082047364
114234a443
1223589144
1313cc9249
14ac7a900
15730a4e4
hex4e3f184

82047364 has 27 divisors (see below), whose sum is σ = 167283543. Its totient is φ = 35108808.

The previous prime is 82047349. The next prime is 82047367. The reversal of 82047364 is 46374028.

The square root of 82047364 is 9058.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (82047367) 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 8 ways as a sum of consecutive naturals, for example, 126489 + ... + 127135.

Almost surely, 282047364 is an apocalyptic number.

82047364 is the 9058-th square number.

It is an amenable number.

82047364 is an abundant number, since it is smaller than the sum of its proper divisors (85236179).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82047364 is an equidigital number, since it uses as much as digits as its factorization.

82047364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The cubic root of 82047364 is about 434.5317796399.

It can be divided in two parts, 820 and 47364, that added together give a palindrome (48184).

The spelling of 82047364 in words is "eighty-two million, forty-seven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 647 1294 2588 4529 9058 18116 31703 63406 126812 418609 837218 1674436 2930263 5860526 11721052 20511841 41023682 82047364