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441383456 = 25313463
BaseRepresentation
bin11010010011101…
…111101000100000
31010202112121021102
4122103233220200
51400443232311
6111444213532
713636461143
oct3223575040
91122477242
10441383456
11207170a18
1210399a2a8
13705a0a57
144289805a
1528b3a43b
hex1a4efa20

441383456 has 48 divisors (see below), whose sum is σ = 899877888. Its totient is φ = 213111360.

The previous prime is 441383443. The next prime is 441383479. The reversal of 441383456 is 654383144.

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 7 ways as a sum of consecutive naturals, for example, 953081 + ... + 953543.

It is an arithmetic number, because the mean of its divisors is an integer number (18747456).

Almost surely, 2441383456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441383456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449938944).

441383456 is an abundant number, since it is smaller than the sum of its proper divisors (458494432).

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

441383456 is an frugal number, since it uses more digits than its factorization.

441383456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 496 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 441383456 is about 21009.1279209776. The cubic root of 441383456 is about 761.3868122845.

The spelling of 441383456 in words is "four hundred forty-one million, three hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 463 496 926 961 992 1852 1922 3704 3844 7408 7688 14353 14816 15376 28706 29791 30752 57412 59582 114824 119164 229648 238328 444943 459296 476656 889886 953312 1779772 3559544 7119088 13793233 14238176 27586466 55172932 110345864 220691728 441383456