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441226240 = 2105713947
BaseRepresentation
bin11010010011001…
…001010000000000
31010202020121121121
4122103021100000
51400423214430
6111441002024
713635234610
oct3223112000
91122217547
10441226240
11207073894
12103923314
1370547320
1442856a40
1528b08a7a
hex1a4c9400

441226240 has 176 divisors, whose sum is σ = 1304053632. Its totient is φ = 139493376.

The previous prime is 441226231. The next prime is 441226259. The reversal of 441226240 is 42622144.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465447 + ... + 466393.

Almost surely, 2441226240 is an apocalyptic number.

441226240 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 441226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652026816).

441226240 is an abundant number, since it is smaller than the sum of its proper divisors (862827392).

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

441226240 is a wasteful number, since it uses less digits than its factorization.

441226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 441226240 is about 21005.3859759824. The cubic root of 441226240 is about 761.2964023077.

Adding to 441226240 its reverse (42622144), we get a palindrome (483848384).

The spelling of 441226240 in words is "four hundred forty-one million, two hundred twenty-six thousand, two hundred forty".