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444420052 = 221753317389
BaseRepresentation
bin11010011111010…
…100111111010100
31010222020212200221
4122133110333110
51402232420202
6112033244124
714004336166
oct3237247724
91128225627
10444420052
112089553aa
12104a03644
13710c4c5b
1443048936
152903a037
hex1a7d4fd4

444420052 has 48 divisors (see below), whose sum is σ = 843832080. Its totient is φ = 204019712.

The previous prime is 444420049. The next prime is 444420059. The reversal of 444420052 is 250024444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9947716 + 434472336 = 3154^2 + 20844^2 .

It is a super-3 number, since 3×4444200523 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444419999 and 444420026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444420059) 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, 1142274 + ... + 1142662.

It is an arithmetic number, because the mean of its divisors is an integer number (17579835).

Almost surely, 2444420052 is an apocalyptic number.

It is an amenable number.

444420052 is a deficient number, since it is larger than the sum of its proper divisors (399412028).

444420052 is a wasteful number, since it uses less digits than its factorization.

444420052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 444420052 is about 21081.2725422352. The cubic root of 444420052 is about 763.1288669242.

Adding to 444420052 its reverse (250024444), we get a palindrome (694444496).

The spelling of 444420052 in words is "four hundred forty-four million, four hundred twenty thousand, fifty-two".

Divisors: 1 2 4 17 34 53 68 106 212 317 389 634 778 901 1268 1556 1802 3604 5389 6613 10778 13226 16801 20617 21556 26452 33602 41234 67204 82468 123313 246626 285617 350489 493252 571234 700978 1142468 1401956 2096321 4192642 6535589 8385284 13071178 26142356 111105013 222210026 444420052