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2820648444 = 223331370949
BaseRepresentation
bin1010100000011111…
…1010110111111100
321021120112210020220
42220013322313330
521234041222234
61143520141340
7126620054565
oct25007726774
97246483226
102820648444
111218200a19
12668767850
1335c4a9863
141ca87b16c
15117967a49
hexa81fadfc

2820648444 has 24 divisors (see below), whose sum is σ = 6583592400. Its totient is φ = 939919104.

The previous prime is 2820648443. The next prime is 2820648451. The reversal of 2820648444 is 4448460282.

It is a happy number.

It is a super-2 number, since 2×28206484442 = 15912115289279242272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2820648396 and 2820648405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820648443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4282 + ... + 75230.

It is an arithmetic number, because the mean of its divisors is an integer number (274316350).

Almost surely, 22820648444 is an apocalyptic number.

It is an amenable number.

2820648444 is an abundant number, since it is smaller than the sum of its proper divisors (3762943956).

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

2820648444 is a wasteful number, since it uses less digits than its factorization.

2820648444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74269 (or 74267 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The square root of 2820648444 is about 53109.7772919450. Note that the first 3 decimals coincide. The cubic root of 2820648444 is about 1412.9159252760.

The spelling of 2820648444 in words is "two billion, eight hundred twenty million, six hundred forty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 3313 6626 9939 13252 19878 39756 70949 141898 212847 283796 425694 851388 235054037 470108074 705162111 940216148 1410324222 2820648444