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448414428 = 223711796143
BaseRepresentation
bin11010101110100…
…100001011011100
31011020202210221210
4122232210023130
51404243230203
6112255024420
714053313460
oct3256441334
91136683853
10448414428
11210133440
1210620b110
1371b930a7
14437a84a0
1529578803
hex1aba42dc

448414428 has 96 divisors (see below), whose sum is σ = 1321205760. Its totient is φ = 114978240.

The previous prime is 448414427. The next prime is 448414453. The reversal of 448414428 is 824414844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448414427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69925 + ... + 76067.

It is an arithmetic number, because the mean of its divisors is an integer number (13762560).

Almost surely, 2448414428 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 448414428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660602880).

448414428 is an abundant number, since it is smaller than the sum of its proper divisors (872791332).

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

448414428 is a wasteful number, since it uses less digits than its factorization.

448414428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6245 counting only the distinct ones).

The product of its digits is 131072, while the sum is 39.

The square root of 448414428 is about 21175.7981667752. The cubic root of 448414428 is about 765.4083445123.

The spelling of 448414428 in words is "four hundred forty-eight million, four hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 79 84 132 154 158 231 237 308 316 462 474 553 869 924 948 1106 1659 1738 2212 2607 3318 3476 5214 6083 6143 6636 10428 12166 12286 18249 18429 24332 24572 36498 36858 43001 67573 72996 73716 86002 129003 135146 172004 202719 258006 270292 405438 473011 485297 516012 810876 946022 970594 1419033 1455891 1892044 1941188 2838066 2911782 3397079 5338267 5676132 5823564 6794158 10191237 10676534 13588316 16014801 20382474 21353068 32029602 37367869 40764948 64059204 74735738 112103607 149471476 224207214 448414428