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448003788048 = 24323111137417
BaseRepresentation
bin1101000010011110001…
…10110100110100010000
31120211101011011110121200
412201033012310310100
524320002432204143
6541450551551200
744236644236565
oct6411706646420
91524334143550
10448003788048
11162aa7505903
12729ab68b500
133332895bc5b
141797d74286c
15b9c0dc81d3
hex684f1b4d10

448003788048 has 30 divisors (see below), whose sum is σ = 1253788379454. Its totient is φ = 149334595968.

The previous prime is 448003788047. The next prime is 448003788103. The reversal of 448003788048 is 840887300844.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 442661347584 + 5342440464 = 665328^2 + 73092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 448003787985 and 448003788003.

It is not an unprimeable number, because it can be changed into a prime (448003788047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1555568565 + ... + 1555568852.

Almost surely, 2448003788048 is an apocalyptic number.

448003788048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448003788048 is an abundant number, since it is smaller than the sum of its proper divisors (805784591406).

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

448003788048 is a wasteful number, since it uses less digits than its factorization.

448003788048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111137431 (or 3111137422 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 448003788048 in words is "four hundred forty-eight billion, three million, seven hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3111137417 6222274834 9333412251 12444549668 18666824502 24889099336 28000236753 37333649004 49778198672 56000473506 74667298008 112000947012 149334596016 224001894024 448003788048