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444420521 = 8919325873
BaseRepresentation
bin11010011111010…
…101000110101001
31010222020220100022
4122133111012221
51402232424041
6112033250225
714004340436
oct3237250651
91128226308
10444420521
11208955796
12104a03975
13710c522c
1443048b8d
152903a24b
hex1a7d51a9

444420521 has 8 divisors (see below), whose sum is σ = 451760040. Its totient is φ = 437133312.

The previous prime is 444420481. The next prime is 444420539. The reversal of 444420521 is 125024444.

It can be written as a sum of positive squares in 4 ways, for example, as 2958400 + 441462121 = 1720^2 + 21011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444420521 is a prime.

It is a super-3 number, since 3×4444205213 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444420551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4241 + ... + 30113.

It is an arithmetic number, because the mean of its divisors is an integer number (56470005).

Almost surely, 2444420521 is an apocalyptic number.

It is an amenable number.

444420521 is a deficient number, since it is larger than the sum of its proper divisors (7339519).

444420521 is a wasteful number, since it uses less digits than its factorization.

444420521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26155.

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 444420521 is about 21081.2836658492. The cubic root of 444420521 is about 763.1291353694.

Adding to 444420521 its reverse (125024444), we get a palindrome (569444965).

The spelling of 444420521 in words is "four hundred forty-four million, four hundred twenty thousand, five hundred twenty-one".

Divisors: 1 89 193 17177 25873 2302697 4993489 444420521