Search a number
-
+
448297040 = 2455603713
BaseRepresentation
bin11010101110000…
…111100001010000
31011020112211221002
4122232013201100
51404231001130
6112252321132
714052314312
oct3256074120
91136484832
10448297040
11210063224
121061731a8
1371b51829
14437777b2
1529553b45
hex1ab87850

448297040 has 20 divisors (see below), whose sum is σ = 1042290804. Its totient is φ = 179318784.

The previous prime is 448297033. The next prime is 448297081. The reversal of 448297040 is 40792844.

It can be written as a sum of positive squares in 2 ways, for example, as 353740864 + 94556176 = 18808^2 + 9724^2 .

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

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 448296985 and 448297003.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2801777 + ... + 2801936.

Almost surely, 2448297040 is an apocalyptic number.

448297040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448297040 is an abundant number, since it is smaller than the sum of its proper divisors (593993764).

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

448297040 is a wasteful number, since it uses less digits than its factorization.

448297040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603726 (or 5603720 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 448297040 is about 21173.0262362280. The cubic root of 448297040 is about 765.3415479727.

The spelling of 448297040 in words is "four hundred forty-eight million, two hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5603713 11207426 22414852 28018565 44829704 56037130 89659408 112074260 224148520 448297040