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2830049280 = 213345853
BaseRepresentation
bin1010100010101111…
…0010000000000000
321022020020101210000
42220223302000000
521243443034110
61144453440000
7130063010352
oct25053620000
97266211700
102830049280
111222541a03
1266b940000
1336141b796
141cbc070d2
151186c31c0
hexa8af2000

2830049280 has 280 divisors, whose sum is σ = 10157525532. Its totient is φ = 753795072.

The previous prime is 2830049251. The next prime is 2830049281. The reversal of 2830049280 is 829400382.

It can be written as a sum of positive squares in 2 ways, for example, as 2511212544 + 318836736 = 50112^2 + 17856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2830049281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317334 + ... + 3318186.

Almost surely, 22830049280 is an apocalyptic number.

2830049280 is a gapful number since it is divisible by the number (20) 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 2830049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5078762766).

2830049280 is an abundant number, since it is smaller than the sum of its proper divisors (7327476252).

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

2830049280 is an frugal number, since it uses more digits than its factorization.

2830049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2830049280 is about 53198.2074885987. The cubic root of 2830049280 is about 1414.4838699132.

The spelling of 2830049280 in words is "two billion, eight hundred thirty million, forty-nine thousand, two hundred eighty".