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448448484 = 2231110133637
BaseRepresentation
bin11010101110101…
…100011111100100
31011020211112200010
4122232230133210
51404300322414
6112255450220
714053514661
oct3256543744
91136745603
10448448484
11210156a90
12106226970
1371ba5743
14437b6a68
1529583959
hex1abac7e4

448448484 has 48 divisors (see below), whose sum is σ = 1152841536. Its totient is φ = 134544000.

The previous prime is 448448461. The next prime is 448448509. The reversal of 448448484 is 484844844.

It is a super-2 number, since 2×4484484842 = 402212085603796512, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3487 + ... + 30150.

It is an arithmetic number, because the mean of its divisors is an integer number (24017532).

Almost surely, 2448448484 is an apocalyptic number.

448448484 is a gapful number since it is divisible by the number (44) 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 448448484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576420768).

448448484 is an abundant number, since it is smaller than the sum of its proper divisors (704393052).

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

448448484 is a wasteful number, since it uses less digits than its factorization.

448448484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33756 (or 33754 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 48.

The square root of 448448484 is about 21176.6022770415. The cubic root of 448448484 is about 765.4277209976.

The spelling of 448448484 in words is "four hundred forty-eight million, four hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 33637 67274 100911 134548 201822 370007 403644 740014 1110021 1480028 2220042 3397337 4440084 6794674 10192011 13589348 20384022 37370707 40768044 74741414 112112121 149482828 224224242 448448484