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441638980 = 225149148201
BaseRepresentation
bin11010010100101…
…110000001000100
31010210000120210021
4122110232001010
51401024421410
6111453504524
713641604126
oct3224560104
91123016707
10441638980
112073259a2
12103aa2144
1370660153
1442923216
1528b8aeda
hex1a52e044

441638980 has 24 divisors (see below), whose sum is σ = 933672600. Its totient is φ = 175468800.

The previous prime is 441638947. The next prime is 441638987. The reversal of 441638980 is 89836144.

It can be written as a sum of positive squares in 4 ways, for example, as 13645636 + 427993344 = 3694^2 + 20688^2 .

It is not an unprimeable number, because it can be changed into a prime (441638987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71121 + ... + 77080.

It is an arithmetic number, because the mean of its divisors is an integer number (38903025).

Almost surely, 2441638980 is an apocalyptic number.

It is an amenable number.

441638980 is an abundant number, since it is smaller than the sum of its proper divisors (492033620).

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

441638980 is a wasteful number, since it uses less digits than its factorization.

441638980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148359 (or 148357 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 441638980 is about 21015.2083025603. The cubic root of 441638980 is about 761.5337103087.

The spelling of 441638980 in words is "four hundred forty-one million, six hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 148201 296402 592804 741005 1482010 2964020 22081949 44163898 88327796 110409745 220819490 441638980