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448480040 = 23511212001
BaseRepresentation
bin11010101110110…
…100001100101000
31011020220010221212
4122232310030220
51404302330130
6112300252252
714054005661
oct3256641450
91136803855
10448480040
11210178768
12106241088
1371bb6c08
14437c4368
152958ce95
hex1abb4328

448480040 has 16 divisors (see below), whose sum is σ = 1009080180. Its totient is φ = 179392000.

The previous prime is 448480037. The next prime is 448480051. The reversal of 448480040 is 40084844.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 385022884 + 63457156 = 19622^2 + 7966^2 .

It is a super-2 number, since 2×4484800402 = 402268692556803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 448479979 and 448480006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5605961 + ... + 5606040.

Almost surely, 2448480040 is an apocalyptic number.

448480040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448480040 is an abundant number, since it is smaller than the sum of its proper divisors (560600140).

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

448480040 is a wasteful number, since it uses less digits than its factorization.

448480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11212012 (or 11212008 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 448480040 is about 21177.3473315238. The cubic root of 448480040 is about 765.4456742085.

The spelling of 448480040 in words is "four hundred forty-eight million, four hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11212001 22424002 44848004 56060005 89696008 112120010 224240020 448480040