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444231424 = 2871319069
BaseRepresentation
bin11010011110100…
…110111100000000
31010221220021221201
4122132212330000
51402210401144
6112025230544
714002622230
oct3236467400
91127807851
10444231424
1120883670a
12104932454
137105a140
1442dd9cc0
1528eee1d4
hex1a7a6f00

444231424 has 72 divisors (see below), whose sum is σ = 1091414240. Its totient is φ = 175730688.

The previous prime is 444231413. The next prime is 444231427. The reversal of 444231424 is 424132444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 444231392 and 444231401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444231427) 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, 13762 + ... + 32830.

Almost surely, 2444231424 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 444231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545707120).

444231424 is an abundant number, since it is smaller than the sum of its proper divisors (647182816).

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

444231424 is a wasteful number, since it uses less digits than its factorization.

444231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19105 (or 19091 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 444231424 is about 21076.7982388218. The cubic root of 444231424 is about 763.0208851162.

Adding to 444231424 its reverse (424132444), we get a palindrome (868363868).

The spelling of 444231424 in words is "four hundred forty-four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 11648 19069 23296 38138 76276 133483 152552 247897 266966 305104 495794 533932 610208 991588 1067864 1220416 1735279 1983176 2135728 2440832 3470558 3966352 4271456 4881664 6941116 7932704 8542912 13882232 15865408 17085824 27764464 31730816 34171648 55528928 63461632 111057856 222115712 444231424