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448420020 = 223537732767
BaseRepresentation
bin11010101110100…
…101100010110100
31011020210002121220
4122232211202310
51404243420040
6112255110340
714053335666
oct3256454264
91136702556
10448420020
11210137664
121062123b0
1371b957b9
14437aa536
152957a2d0
hex1aba58b4

448420020 has 96 divisors (see below), whose sum is σ = 1307647488. Its totient is φ = 114711552.

The previous prime is 448419971. The next prime is 448420031. The reversal of 448420020 is 20024844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160677 + ... + 163443.

It is an arithmetic number, because the mean of its divisors is an integer number (13621328).

Almost surely, 2448420020 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 448420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653823744).

448420020 is an abundant number, since it is smaller than the sum of its proper divisors (859227468).

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

448420020 is a wasteful number, since it uses less digits than its factorization.

448420020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2887 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 448420020 is about 21175.9302038895. The cubic root of 448420020 is about 765.4115262012.

Adding to 448420020 its reverse (20024844), we get a palindrome (468444864).

The spelling of 448420020 in words is "four hundred forty-eight million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 73 74 111 146 148 185 219 222 292 365 370 438 444 555 730 740 876 1095 1110 1460 2190 2220 2701 2767 4380 5402 5534 8103 8301 10804 11068 13505 13835 16206 16602 27010 27670 32412 33204 40515 41505 54020 55340 81030 83010 102379 162060 166020 201991 204758 307137 403982 409516 511895 605973 614274 807964 1009955 1023790 1211946 1228548 1535685 2019910 2047580 2423892 3029865 3071370 4039820 6059730 6142740 7473667 12119460 14947334 22421001 29894668 37368335 44842002 74736670 89684004 112105005 149473340 224210010 448420020