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441666256 = 241710914897
BaseRepresentation
bin11010010100110…
…100101011010000
31010210001222012111
4122110310223100
51401031310011
6111454235104
713642046503
oct3224645320
91123058174
10441666256
11207344439
12103ab5a94
137066c6a5
144292d13a
1528b94121
hex1a534ad0

441666256 has 40 divisors (see below), whose sum is σ = 914439240. Its totient is φ = 205922304.

The previous prime is 441666241. The next prime is 441666283. The reversal of 441666256 is 652666144.

It can be written as a sum of positive squares in 4 ways, for example, as 272250000 + 169416256 = 16500^2 + 13016^2 .

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 7 ways as a sum of consecutive naturals, for example, 22200 + ... + 37096.

It is an arithmetic number, because the mean of its divisors is an integer number (22860981).

Almost surely, 2441666256 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 441666256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457219620).

441666256 is an abundant number, since it is smaller than the sum of its proper divisors (472772984).

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

441666256 is a wasteful number, since it uses less digits than its factorization.

441666256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15031 (or 15025 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 441666256 is about 21015.8572511330. The cubic root of 441666256 is about 761.5493876430.

The spelling of 441666256 in words is "four hundred forty-one million, six hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1744 1853 3706 7412 14824 14897 29648 29794 59588 119176 238352 253249 506498 1012996 1623773 2025992 3247546 4051984 6495092 12990184 25980368 27604141 55208282 110416564 220833128 441666256