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3052048896 = 2936131737
BaseRepresentation
bin1011010111101010…
…1001001000000000
321212200222011000000
42311322221020000
522222311031041
61222504000000
7135426662511
oct26572511000
97780864000
103052048896
111326890566
12712160000
133984093c0
1420d4b4a08
1512ce25bb6
hexb5ea9200

3052048896 has 560 divisors, whose sum is σ = 10707299064. Its totient is φ = 859963392.

The previous prime is 3052048891. The next prime is 3052048903. The reversal of 3052048896 is 6988402503.

3052048896 is a `hidden beast` number, since 3 + 0 + 520 + 48 + 89 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2916000000 + 136048896 = 54000^2 + 11664^2 .

It is not an unprimeable number, because it can be changed into a prime (3052048891) 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 55 ways as a sum of consecutive naturals, for example, 82487790 + ... + 82487826.

Almost surely, 23052048896 is an apocalyptic number.

3052048896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3052048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353649532).

3052048896 is an abundant number, since it is smaller than the sum of its proper divisors (7655250168).

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

3052048896 is an equidigital number, since it uses as much as digits as its factorization.

3052048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3052048896 is about 55245.3518044731. The cubic root of 3052048896 is about 1450.5426262405.

The spelling of 3052048896 in words is "three billion, fifty-two million, forty-eight thousand, eight hundred ninety-six".