Search a number
-
+
448128040 = 23511203201
BaseRepresentation
bin11010101101011…
…110010000101000
31011020020021002211
4122231132100220
51404210044130
6112244534504
714051011513
oct3255362050
91136207084
10448128040
1120aa58258
121060b1434
1371ac2929
1443731d7a
152951da2a
hex1ab5e428

448128040 has 16 divisors (see below), whose sum is σ = 1008288180. Its totient is φ = 179251200.

The previous prime is 448128029. The next prime is 448128049. The reversal of 448128040 is 40821844.

It can be written as a sum of positive squares in 2 ways, for example, as 409414756 + 38713284 = 20234^2 + 6222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 448127993 and 448128011.

It is not an unprimeable number, because it can be changed into a prime (448128049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5601561 + ... + 5601640.

Almost surely, 2448128040 is an apocalyptic number.

448128040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448128040 is an abundant number, since it is smaller than the sum of its proper divisors (560160140).

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

448128040 is a wasteful number, since it uses less digits than its factorization.

448128040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11203212 (or 11203208 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 448128040 is about 21169.0349331282. The cubic root of 448128040 is about 765.2453625072.

Adding to 448128040 its reverse (40821844), we get a palindrome (488949884).

The spelling of 448128040 in words is "four hundred forty-eight million, one hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11203201 22406402 44812804 56016005 89625608 112032010 224064020 448128040