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440807444 = 227111431193
BaseRepresentation
bin11010010001100…
…011000000010100
31010201110100010122
4122101203000110
51400321314234
6111424011112
713631541620
oct3221430024
91121410118
10440807444
11206908180
12103760a98
137042b80c
1442788180
1528a7492e
hex1a463014

440807444 has 24 divisors (see below), whose sum is σ = 961762368. Its totient is φ = 171743040.

The previous prime is 440807401. The next prime is 440807449. The reversal of 440807444 is 444708044.

It is a happy number.

It is a super-2 number, since 2×4408074442 = 388622405371626272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440807449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715289 + ... + 715904.

It is an arithmetic number, because the mean of its divisors is an integer number (40073432).

Almost surely, 2440807444 is an apocalyptic number.

440807444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440807444 is an abundant number, since it is smaller than the sum of its proper divisors (520954924).

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

440807444 is a wasteful number, since it uses less digits than its factorization.

440807444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431215 (or 1431213 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 35.

The square root of 440807444 is about 20995.4148327677. The cubic root of 440807444 is about 761.0554610507.

The spelling of 440807444 in words is "four hundred forty million, eight hundred seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1431193 2862386 5724772 10018351 15743123 20036702 31486246 40073404 62972492 110201861 220403722 440807444