Search a number
-
+
444240056 = 231317376791
BaseRepresentation
bin11010011110101…
…001000010111000
31010221220201210102
4122132221002320
51402211140211
6112025334532
714002656341
oct3236510270
91127821712
10444240056
11208842147
12104937448
1371061050
1442ddd0c8
1529001a3b
hex1a7a90b8

444240056 has 64 divisors (see below), whose sum is σ = 975602880. Its totient is φ = 187729920.

The previous prime is 444240047. The next prime is 444240061. The reversal of 444240056 is 650042444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62021 + ... + 68811.

It is an arithmetic number, because the mean of its divisors is an integer number (15243795).

Almost surely, 2444240056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444240056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487801440).

444240056 is an abundant number, since it is smaller than the sum of its proper divisors (531362824).

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

444240056 is a wasteful number, since it uses less digits than its factorization.

444240056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 444240056 is about 21077.0030127625. The cubic root of 444240056 is about 763.0258272501.

The spelling of 444240056 in words is "four hundred forty-four million, two hundred forty thousand, fifty-six".

Divisors: 1 2 4 8 13 17 26 34 37 52 68 74 104 136 148 221 296 442 481 629 884 962 1258 1768 1924 2516 3848 5032 6791 8177 13582 16354 27164 32708 54328 65416 88283 115447 176566 230894 251267 353132 461788 502534 706264 923576 1005068 1500811 2010136 3001622 3266471 4271539 6003244 6532942 8543078 12006488 13065884 17086156 26131768 34172312 55530007 111060014 222120028 444240056