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2840890000 = 2454132412
BaseRepresentation
bin1010100101010100…
…1000101010010000
321022222122011110011
42221111020222100
521304231440000
61145522044304
7130254111064
oct25125105220
97288564404
102840890000
111228676783
126734a9694
13363745c00
141cd429aa4
151196152ba
hexa9548a90

2840890000 has 225 divisors, whose sum is σ = 7633946199. Its totient is φ = 1023360000.

The previous prime is 2840889913. The next prime is 2840890021. The reversal of 2840890000 is 980482.

The square root of 2840890000 is 53300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 302342544 + 2538547456 = 17388^2 + 50384^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 69289980 + ... + 69290020.

Almost surely, 22840890000 is an apocalyptic number.

2840890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2840890000 is the 53300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2840890000

2840890000 is an abundant number, since it is smaller than the sum of its proper divisors (4793056199).

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

2840890000 is an equidigital number, since it uses as much as digits as its factorization.

2840890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 2840890000 is about 1416.2876648582.

The spelling of 2840890000 in words is "two billion, eight hundred forty million, eight hundred ninety thousand".