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2826224840 = 235174156213
BaseRepresentation
bin1010100001110100…
…1100010011001000
321021222001002122002
42220131030103020
521242003143330
61144235450132
7130015341365
oct25035142310
97258032562
102826224840
11122036a60a
1266a5b6948
133606acaba
141cb4cd46c
151181b9e45
hexa874c4c8

2826224840 has 32 divisors (see below), whose sum is σ = 6733066680. Its totient is φ = 1063990272.

The previous prime is 2826224827. The next prime is 2826224861. The reversal of 2826224840 is 484226282.

It can be written as a sum of positive squares in 4 ways, for example, as 2798198404 + 28026436 = 52898^2 + 5294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2826224794 and 2826224803.

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 7 ways as a sum of consecutive naturals, for example, 2077427 + ... + 2078786.

Almost surely, 22826224840 is an apocalyptic number.

2826224840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2826224840 is an abundant number, since it is smaller than the sum of its proper divisors (3906841840).

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

2826224840 is a wasteful number, since it uses less digits than its factorization.

2826224840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156241 (or 4156237 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 2826224840 is about 53162.2501404897. The cubic root of 2826224840 is about 1413.8464196100.

The spelling of 2826224840 in words is "two billion, eight hundred twenty-six million, two hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 4156213 8312426 16624852 20781065 33249704 41562130 70655621 83124260 141311242 166248520 282622484 353278105 565244968 706556210 1413112420 2826224840