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3093048000 = 263253717192
BaseRepresentation
bin1011100001011100…
…0010101011000000
321222120010010012100
42320113002223000
522313310014000
61230530430400
7136435321440
oct27027025300
97876103170
103093048000
111347a43819
12723a32400
133a3a62923
14214b08120
15131823a00
hexb85c2ac0

3093048000 has 1008 divisors, whose sum is σ = 14130552384. Its totient is φ = 630374400.

The previous prime is 3093047999. The next prime is 3093048011. The reversal of 3093048000 is 8403903.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 162791991 + ... + 162792009.

Almost surely, 23093048000 is an apocalyptic number.

3093048000 is a gapful number since it is divisible by the number (30) 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 3093048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065276192).

3093048000 is an abundant number, since it is smaller than the sum of its proper divisors (11037504384).

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

3093048000 is a wasteful number, since it uses less digits than its factorization.

3093048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3093048000 is about 55615.1777844861. The cubic root of 3093048000 is about 1457.0089512804.

The spelling of 3093048000 in words is "three billion, ninety-three million, forty-eight thousand".