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448043680 = 25572317393
BaseRepresentation
bin11010101101001…
…001101010100000
31011020001222101101
4122231021222200
51404144344210
6112243044144
714050210540
oct3255115240
91136058341
10448043680
1120a9aa937
12106070654
1371a93406
144370d320
1529503a3a
hex1ab49aa0

448043680 has 96 divisors (see below), whose sum is σ = 1262386944. Its totient is φ = 146927616.

The previous prime is 448043677. The next prime is 448043689. The reversal of 448043680 is 86340844.

It is not an unprimeable number, because it can be changed into a prime (448043689) 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 15 ways as a sum of consecutive naturals, for example, 17064 + ... + 34456.

It is an arithmetic number, because the mean of its divisors is an integer number (13149864).

Almost surely, 2448043680 is an apocalyptic number.

448043680 is a gapful number since it is divisible by the number (40) 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 448043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631193472).

448043680 is an abundant number, since it is smaller than the sum of its proper divisors (814343264).

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

448043680 is a wasteful number, since it uses less digits than its factorization.

448043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17438 (or 17430 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 448043680 is about 21167.0423063781. The cubic root of 448043680 is about 765.1973404062.

It can be divided in two parts, 44804 and 3680, that added together give a palindrome (48484).

The spelling of 448043680 in words is "four hundred forty-eight million, forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 17393 25760 34786 69572 86965 121751 139144 173930 243502 278288 347860 400039 487004 556576 608755 695720 800078 974008 1217510 1391440 1600156 1948016 2000195 2435020 2782880 2800273 3200312 3896032 4000390 4870040 5600546 6400624 8000780 9740080 11201092 12801248 14001365 16001560 19480160 22402184 28002730 32003120 44804368 56005460 64006240 89608736 112010920 224021840 448043680