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448612420 = 225193731907
BaseRepresentation
bin11010101111010…
…100100001000100
31011021010212112211
4122233110201010
51404321044140
6112303153204
714055066634
oct3257244104
91137125484
10448612420
11210259173
121062a5804
1371c32249
144381a6c4
15295b72ea
hex1abd4844

448612420 has 48 divisors (see below), whose sum is σ = 1018503360. Its totient is φ = 165400704.

The previous prime is 448612379. The next prime is 448612429. The reversal of 448612420 is 24216844.

It is not an unprimeable number, because it can be changed into a prime (448612429) 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, 1894 + ... + 30013.

It is an arithmetic number, because the mean of its divisors is an integer number (21218820).

Almost surely, 2448612420 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 448612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509251680).

448612420 is an abundant number, since it is smaller than the sum of its proper divisors (569890940).

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

448612420 is a wasteful number, since it uses less digits than its factorization.

448612420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31972 (or 31970 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 448612420 is about 21180.4726104023. The cubic root of 448612420 is about 765.5209802206.

The spelling of 448612420 in words is "four hundred forty-eight million, six hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 2812 3515 7030 14060 31907 63814 127628 159535 319070 606233 638140 1180559 1212466 2361118 2424932 3031165 4722236 5902795 6062330 11805590 12124660 22430621 23611180 44861242 89722484 112153105 224306210 448612420