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3052764288 = 2735722003
BaseRepresentation
bin1011010111110101…
…0111110010000000
321212202022111100000
42311331113302000
522223001424123
61222531200000
7135436032300
oct26575276200
97782274300
103052764288
111327229aa2
12712446000
133985c9c02
1420d61d600
1512d017b43
hexb5f57c80

3052764288 has 288 divisors, whose sum is σ = 10602642960. Its totient is φ = 871782912.

The previous prime is 3052764283. The next prime is 3052764301. The reversal of 3052764288 is 8824672503.

3052764288 is a `hidden beast` number, since 3 + 0 + 527 + 6 + 42 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3052764283) 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 35 ways as a sum of consecutive naturals, for example, 1523095 + ... + 1525097.

Almost surely, 23052764288 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 3052764288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301321480).

3052764288 is an abundant number, since it is smaller than the sum of its proper divisors (7549878672).

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

3052764288 is an equidigital number, since it uses as much as digits as its factorization.

3052764288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3052764288 is about 55251.8261055687. The cubic root of 3052764288 is about 1450.6559518084.

The spelling of 3052764288 in words is "three billion, fifty-two million, seven hundred sixty-four thousand, two hundred eighty-eight".