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444535325 = 52134173457
BaseRepresentation
bin11010011111110…
…001001000011101
31010222110201211022
4122133301020131
51402300112300
6112035533525
714005326233
oct3237611035
91128421738
10444535325
11208a23a73
12104a5a2a5
1371135570
1443078953
152905e285
hex1a7f121d

444535325 has 48 divisors (see below), whose sum is σ = 617783376. Its totient is φ = 315187200.

The previous prime is 444535321. The next prime is 444535339. The reversal of 444535325 is 523535444.

It can be written as a sum of positive squares in 24 ways, for example, as 375661924 + 68873401 = 19382^2 + 8299^2 .

It is not a de Polignac number, because 444535325 - 22 = 444535321 is a prime.

It is a super-2 number, since 2×4445353252 = 395223310345711250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444535321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972497 + ... + 972953.

It is an arithmetic number, because the mean of its divisors is an integer number (12870487).

Almost surely, 2444535325 is an apocalyptic number.

It is an amenable number.

444535325 is a deficient number, since it is larger than the sum of its proper divisors (173248051).

444535325 is a wasteful number, since it uses less digits than its factorization.

444535325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its digits is 144000, while the sum is 35.

The square root of 444535325 is about 21084.0063792440. The cubic root of 444535325 is about 763.1948409570.

The spelling of 444535325 in words is "four hundred forty-four million, five hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 5 13 25 41 65 73 205 325 365 457 533 949 1025 1825 2285 2665 2993 4745 5941 11425 13325 14965 18737 23725 29705 33361 38909 74825 93685 148525 166805 194545 243581 433693 468425 834025 972725 1217905 1367801 2168465 6089525 6839005 10842325 17781413 34195025 88907065 444535325