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440500000 = 2556881
BaseRepresentation
bin11010010000010…
…111111100100000
31010200212201101211
4122100113330200
51400232000000
6111413235504
713626121363
oct3220277440
91120781354
10440500000
11206718196
12103632b94
13703518b5
14427080da
1528a137ba
hex1a417f20

440500000 has 84 divisors (see below), whose sum is σ = 1085259546. Its totient is φ = 176000000.

The previous prime is 440499967. The next prime is 440500019. The reversal of 440500000 is 5044.

It can be written as a sum of positive squares in 7 ways, for example, as 309900816 + 130599184 = 17604^2 + 11428^2 .

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 13 ways as a sum of consecutive naturals, for example, 499560 + ... + 500440.

Almost surely, 2440500000 is an apocalyptic number.

440500000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542629773).

440500000 is an abundant number, since it is smaller than the sum of its proper divisors (644759546).

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

440500000 is an frugal number, since it uses more digits than its factorization.

440500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 440500000 is about 20988.0918618154. The cubic root of 440500000 is about 760.8784855506.

Adding to 440500000 its reverse (5044), we get a palindrome (440505044).

The spelling of 440500000 in words is "four hundred forty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 881 1000 1250 1762 2000 2500 3125 3524 4000 4405 5000 6250 7048 8810 10000 12500 14096 15625 17620 20000 22025 25000 28192 31250 35240 44050 50000 62500 70480 88100 100000 110125 125000 140960 176200 220250 250000 352400 440500 500000 550625 704800 881000 1101250 1762000 2202500 2753125 3524000 4405000 5506250 8810000 11012500 13765625 17620000 22025000 27531250 44050000 55062500 88100000 110125000 220250000 440500000