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444442240 = 2751163131
BaseRepresentation
bin11010011111011…
…010011010000000
31010222022000010201
4122133122122000
51402234122430
6112033534544
714004460654
oct3237323200
91128260121
10444442240
11208970040
12104a14454
1371102098
1443052a64
15290418ca
hex1a7da680

444442240 has 64 divisors (see below), whose sum is σ = 1159103520. Its totient is φ = 161612800.

The previous prime is 444442223. The next prime is 444442247. The reversal of 444442240 is 42244444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 444442199 and 444442208.

It is not an unprimeable number, because it can be changed into a prime (444442247) 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, 24526 + ... + 38605.

Almost surely, 2444442240 is an apocalyptic number.

444442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444442240 is an abundant number, since it is smaller than the sum of its proper divisors (714661280).

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

444442240 is a wasteful number, since it uses less digits than its factorization.

444442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63161 (or 63149 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 444442240 is about 21081.7987847337. The cubic root of 444442240 is about 763.1415666373.

Adding to 444442240 its reverse (42244444), we get a palindrome (486686684).

The spelling of 444442240 in words is "four hundred forty-four million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 63131 126262 252524 315655 505048 631310 694441 1010096 1262620 1388882 2020192 2525240 2777764 3472205 4040384 5050480 5555528 6944410 8080768 10100960 11111056 13888820 20201920 22222112 27777640 40403840 44444224 55555280 88888448 111110560 222221120 444442240