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440448040 = 23511011201
BaseRepresentation
bin11010010000001…
…011010000101000
31010200210002010101
4122100023100220
51400223314130
6111412155144
713625514034
oct3220132050
91120702111
10440448040
1120669214a
12103608ab4
1370334056
14426d31c4
1528a031ca
hex1a40b428

440448040 has 16 divisors (see below), whose sum is σ = 991008180. Its totient is φ = 176179200.

The previous prime is 440447983. The next prime is 440448067. The reversal of 440448040 is 40844044.

It can be written as a sum of positive squares in 2 ways, for example, as 405377956 + 35070084 = 20134^2 + 5922^2 .

It is a super-3 number, since 3×4404480403 (a number of 27 digits) contains 333 as substring.

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, 5505561 + ... + 5505640.

Almost surely, 2440448040 is an apocalyptic number.

440448040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440448040 is an abundant number, since it is smaller than the sum of its proper divisors (550560140).

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

440448040 is a wasteful number, since it uses less digits than its factorization.

440448040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11011212 (or 11011208 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 440448040 is about 20986.8539805279. The cubic root of 440448040 is about 760.8485674267.

The spelling of 440448040 in words is "four hundred forty million, four hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11011201 22022402 44044804 55056005 88089608 110112010 220224020 440448040