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481734066 = 231117538101
BaseRepresentation
bin11100101101101…
…010110110110010
31020120110121220110
4130231222312302
51441310442231
6115445122150
714636446332
oct3455526662
91216417813
10481734066
11227a20a30
121153b9356
1378a5b058
1447d9d0c2
152c45b046
hex1cb6adb2

481734066 has 64 divisors (see below), whose sum is σ = 1134020736. Its totient is φ = 134784000.

The previous prime is 481734061. The next prime is 481734089. The reversal of 481734066 is 660437184.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (481734061) 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 31 ways as a sum of consecutive naturals, for example, 55416 + ... + 63516.

It is an arithmetic number, because the mean of its divisors is an integer number (17719074).

Almost surely, 2481734066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481734066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567010368).

481734066 is an abundant number, since it is smaller than the sum of its proper divisors (652286670).

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

481734066 is a wasteful number, since it uses less digits than its factorization.

481734066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 481734066 is about 21948.4410835941. The cubic root of 481734066 is about 783.9152616053.

It can be divided in two parts, 4817 and 34066, that added together give a palindrome (38883).

The spelling of 481734066 in words is "four hundred eighty-one million, seven hundred thirty-four thousand, sixty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 318 374 561 583 901 1122 1166 1749 1802 2703 3498 5406 8101 9911 16202 19822 24303 29733 48606 59466 89111 137717 178222 267333 275434 413151 429353 534666 826302 858706 1288059 1514887 2576118 3029774 4544661 4722883 7299001 9089322 9445766 14168649 14598002 21897003 28337298 43794006 80289011 160578022 240867033 481734066