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440042240 = 2851131253
BaseRepresentation
bin11010001110101…
…000001100000000
31010200000110110202
4122032220030000
51400122322430
6111355344332
713622203661
oct3216501400
91120013422
10440042240
11206435280
121034520a8
1370221431
1442629368
1528972d45
hex1a3a8300

440042240 has 72 divisors (see below), whose sum is σ = 1149897168. Its totient is φ = 160010240.

The previous prime is 440042203. The next prime is 440042243. The reversal of 440042240 is 42240044.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (440042243) 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, 1547 + ... + 29706.

It is an arithmetic number, because the mean of its divisors is an integer number (15970794).

Almost surely, 2440042240 is an apocalyptic number.

440042240 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 440042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574948584).

440042240 is an abundant number, since it is smaller than the sum of its proper divisors (709854928).

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

440042240 is a wasteful number, since it uses less digits than its factorization.

440042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31285 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 440042240 is about 20977.1837957339. The cubic root of 440042240 is about 760.6148302692.

Adding to 440042240 its reverse (42240044), we get a palindrome (482282284).

The spelling of 440042240 in words is "four hundred forty million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 31253 62506 125012 156265 250024 312530 343783 500048 625060 687566 1000096 1250120 1375132 1718915 2000192 2500240 2750264 3437830 4000384 5000480 5500528 6875660 8000768 10000960 11001056 13751320 20001920 22002112 27502640 40003840 44004224 55005280 88008448 110010560 220021120 440042240