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449411900 = 225272232879
BaseRepresentation
bin11010110010010…
…111101100111100
31011022122111020012
4122302113230330
51410022140100
6112332242352
714064636530
oct3262275474
91138574205
10449411900
112107548a3
121066103b8
1372152102
1443987bc0
15296c4135
hex1ac97b3c

449411900 has 72 divisors (see below), whose sum is σ = 1119928320. Its totient is φ = 153339840.

The previous prime is 449411891. The next prime is 449411903. The reversal of 449411900 is 9114944.

It is a super-2 number, since 2×4494119002 = 403942111723220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449411903) 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 23 ways as a sum of consecutive naturals, for example, 154661 + ... + 157539.

It is an arithmetic number, because the mean of its divisors is an integer number (15554560).

Almost surely, 2449411900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559964160).

449411900 is an abundant number, since it is smaller than the sum of its proper divisors (670516420).

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

449411900 is a wasteful number, since it uses less digits than its factorization.

449411900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 449411900 is about 21199.3372537917. The cubic root of 449411900 is about 765.9754597687.

The spelling of 449411900 in words is "four hundred forty-nine million, four hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 223 350 446 700 892 1115 1561 2230 2879 3122 4460 5575 5758 6244 7805 11150 11516 14395 15610 20153 22300 28790 31220 39025 40306 57580 71975 78050 80612 100765 143950 156100 201530 287900 403060 503825 642017 1007650 1284034 2015300 2568068 3210085 4494119 6420170 8988238 12840340 16050425 17976476 22470595 32100850 44941190 64201700 89882380 112352975 224705950 449411900