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444457061 = 17376611069
BaseRepresentation
bin11010011111011…
…110000001100101
31010222022202110122
4122133132001211
51402240111221
6112034131325
714004552116
oct3237360145
91128282418
10444457061
11208980194
12104a20b45
1371108a59
144305820d
1529045eab
hex1a7de065

444457061 has 16 divisors (see below), whose sum is σ = 484504560. Its totient is φ = 406010880.

The previous prime is 444457049. The next prime is 444457121. The reversal of 444457061 is 160754444.

It can be written as a sum of positive squares in 8 ways, for example, as 108284836 + 336172225 = 10406^2 + 18335^2 .

It is a cyclic number.

It is not a de Polignac number, because 444457061 - 26 = 444456997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444457001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415235 + ... + 416303.

It is an arithmetic number, because the mean of its divisors is an integer number (30281535).

Almost surely, 2444457061 is an apocalyptic number.

It is an amenable number.

444457061 is a deficient number, since it is larger than the sum of its proper divisors (40047499).

444457061 is a wasteful number, since it uses less digits than its factorization.

444457061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784.

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 444457061 is about 21082.1502935540. The cubic root of 444457061 is about 763.1500494760.

The spelling of 444457061 in words is "four hundred forty-four million, four hundred fifty-seven thousand, sixty-one".

Divisors: 1 17 37 629 661 1069 11237 18173 24457 39553 415769 672401 706609 12012353 26144533 444457061