Search a number
-
+
448044880 = 2455600561
BaseRepresentation
bin11010101101001…
…001111101010000
31011020002001000211
4122231021331100
51404144414010
6112243053504
714050214203
oct3255117520
91136061024
10448044880
1120aa00828
12106071294
1371a93b1a
144370d93a
152950408a
hex1ab49f50

448044880 has 20 divisors (see below), whose sum is σ = 1041704532. Its totient is φ = 179217920.

The previous prime is 448044869. The next prime is 448044889. The reversal of 448044880 is 88440844.

448044880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 141514816 + 306530064 = 11896^2 + 17508^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448044889) 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, 2800201 + ... + 2800360.

Almost surely, 2448044880 is an apocalyptic number.

448044880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448044880 is an abundant number, since it is smaller than the sum of its proper divisors (593659652).

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

448044880 is a wasteful number, since it uses less digits than its factorization.

448044880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600574 (or 5600568 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 448044880 is about 21167.0706523128. The cubic root of 448044880 is about 765.1980235509.

The spelling of 448044880 in words is "four hundred forty-eight million, forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5600561 11201122 22402244 28002805 44804488 56005610 89608976 112011220 224022440 448044880