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444413025 = 32527282167
BaseRepresentation
bin11010011111010…
…011010001100001
31010222020112001200
4122133103101201
51402232204100
6112033151413
714004306540
oct3237232141
91128215050
10444413025
112089500a1
121049bb569
13710c19b4
1443046157
1529037e00
hex1a7d3461

444413025 has 36 divisors (see below), whose sum is σ = 909709632. Its totient is φ = 203159520.

The previous prime is 444412987. The next prime is 444413071. The reversal of 444413025 is 520314444.

It is a happy number.

It is not a de Polignac number, because 444413025 - 26 = 444412961 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 444413025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139509 + ... + 142658.

It is an arithmetic number, because the mean of its divisors is an integer number (25269712).

Almost surely, 2444413025 is an apocalyptic number.

444413025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444413025 is an abundant number, since it is smaller than the sum of its proper divisors (465296607).

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

444413025 is a wasteful number, since it uses less digits than its factorization.

444413025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282190 (or 282182 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 444413025 is about 21081.1058770644. The cubic root of 444413025 is about 763.1248448023.

Adding to 444413025 its reverse (520314444), we get a palindrome (964727469).

The spelling of 444413025 in words is "four hundred forty-four million, four hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 282167 846501 1410835 1975169 2539503 4232505 5925507 7054175 9875845 12697515 17776521 21162525 29627535 49379225 63487575 88882605 148137675 444413025