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449822144 = 2617340627
BaseRepresentation
bin11010110011111…
…011110111000000
31011100102022222102
4122303323313000
51410123302034
6112345125532
714101265552
oct3263736700
91140368872
10449822144
11210a05042
121067898a8
1372266a65
1443a534d2
152975597e
hex1acfbdc0

449822144 has 28 divisors (see below), whose sum is σ = 897797544. Its totient is φ = 223605504.

The previous prime is 449822141. The next prime is 449822147. The reversal of 449822144 is 441228944.

It is an interprime number because it is at equal distance from previous prime (449822141) and next prime (449822147).

It is a super-2 number, since 2×4498221442 = 404679922465513472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449822098 and 449822107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449822141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9242 + ... + 31385.

It is an arithmetic number, because the mean of its divisors is an integer number (32064198).

Almost surely, 2449822144 is an apocalyptic number.

It is an amenable number.

449822144 is a deficient number, since it is larger than the sum of its proper divisors (447975400).

449822144 is a wasteful number, since it uses less digits than its factorization.

449822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40812 (or 40802 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 449822144 is about 21209.0109151747. The cubic root of 449822144 is about 766.2084615119.

The spelling of 449822144 in words is "four hundred forty-nine million, eight hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 173 346 692 1384 2768 5536 11072 40627 81254 162508 325016 650032 1300064 2600128 7028471 14056942 28113884 56227768 112455536 224911072 449822144