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3205273064 = 237215752081
BaseRepresentation
bin1011111100001100…
…1001010111101000
322021101021202001012
42333003021113220
523031022214224
61250020043052
7142300241300
oct27703112750
98241252035
103205273064
1113a5325104
12755533488
133c10969a6
1422599c600
1513b5e080e
hexbf0c95e8

3205273064 has 48 divisors (see below), whose sum is σ = 7035757380. Its totient is φ = 1364912640.

The previous prime is 3205273063. The next prime is 3205273069. The reversal of 3205273064 is 4603725023.

It can be written as a sum of positive squares in 2 ways, for example, as 2834710564 + 370562500 = 53242^2 + 19250^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3205273064.

It is not an unprimeable number, because it can be changed into a prime (3205273063) 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 11 ways as a sum of consecutive naturals, for example, 35504 + ... + 87584.

Almost surely, 23205273064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205273064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517878690).

3205273064 is an abundant number, since it is smaller than the sum of its proper divisors (3830484316).

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

3205273064 is a wasteful number, since it uses less digits than its factorization.

3205273064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52258 (or 52247 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 3205273064 is about 56615.1310516897. The cubic root of 3205273064 is about 1474.4215775099.

Adding to 3205273064 its reverse (4603725023), we get a palindrome (7808998087).

The spelling of 3205273064 in words is "three billion, two hundred five million, two hundred seventy-three thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 157 196 314 392 628 1099 1256 2198 4396 7693 8792 15386 30772 52081 61544 104162 208324 364567 416648 729134 1458268 2551969 2916536 5103938 8176717 10207876 16353434 20415752 32706868 57237019 65413736 114474038 228948076 400659133 457896152 801318266 1602636532 3205273064