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444448848 = 24340922639
BaseRepresentation
bin11010011111011…
…100000001010000
31010222022100012110
4122133130001100
51402234330343
6112034025320
714004516144
oct3237340120
91128270173
10444448848
11208974aa8
12104a18240
13711050ac
1443055224
1529043833
hex1a7dc050

444448848 has 40 divisors (see below), whose sum is σ = 1151017600. Its totient is φ = 147780864.

The previous prime is 444448843. The next prime is 444448871. The reversal of 444448848 is 848844444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444448797 and 444448806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444448841) by changing a digit.

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, 8313 + ... + 30951.

It is an arithmetic number, because the mean of its divisors is an integer number (28775440).

Almost surely, 2444448848 is an apocalyptic number.

444448848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444448848 is an abundant number, since it is smaller than the sum of its proper divisors (706568752).

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

444448848 is a wasteful number, since it uses less digits than its factorization.

444448848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23059 (or 23053 counting only the distinct ones).

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

The square root of 444448848 is about 21081.9555070207. The cubic root of 444448848 is about 763.1453487669.

The spelling of 444448848 in words is "four hundred forty-four million, four hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 409 818 1227 1636 2454 3272 4908 6544 9816 19632 22639 45278 67917 90556 135834 181112 271668 362224 543336 1086672 9259351 18518702 27778053 37037404 55556106 74074808 111112212 148149616 222224424 444448848