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449223920 = 24529227853
BaseRepresentation
bin11010110001101…
…001110011110000
31011022021221100222
4122301221303300
51410000131140
6112324232212
714063224505
oct3261516360
91138257328
10449223920
11210636642
1210653b668
13720b7692
14439394ac
15296885b5
hex1ac69cf0

449223920 has 80 divisors (see below), whose sum is σ = 1086492960. Its totient is φ = 172526592.

The previous prime is 449223913. The next prime is 449223961. The reversal of 449223920 is 29322944.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526214 + ... + 527066.

It is an arithmetic number, because the mean of its divisors is an integer number (13581162).

Almost surely, 2449223920 is an apocalyptic number.

449223920 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 449223920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543246480).

449223920 is an abundant number, since it is smaller than the sum of its proper divisors (637269040).

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

449223920 is a wasteful number, since it uses less digits than its factorization.

449223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 449223920 is about 21194.9031609017. The cubic root of 449223920 is about 765.8686474751.

The spelling of 449223920 in words is "four hundred forty-nine million, two hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 227 232 290 454 464 580 853 908 1135 1160 1706 1816 2270 2320 3412 3632 4265 4540 6583 6824 8530 9080 13166 13648 17060 18160 24737 26332 32915 34120 49474 52664 65830 68240 98948 105328 123685 131660 193631 197896 247370 263320 387262 395792 494740 526640 774524 968155 989480 1549048 1936310 1978960 3098096 3872620 5615299 7745240 11230598 15490480 22461196 28076495 44922392 56152990 89844784 112305980 224611960 449223920