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4442816 = 26747211
BaseRepresentation
bin10000111100101011000000
322100201101202
4100330223000
52114132231
6235120332
752522550
oct20745300
98321352
104442816
112564a54
1215a30a8
13bc72b1
14839160
155cb5cb
hex43cac0

4442816 has 56 divisors (see below), whose sum is σ = 10338816. Its totient is φ = 1854720.

The previous prime is 4442807. The next prime is 4442819. The reversal of 4442816 is 6182444.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×44428162 = 39477228019712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4442819) 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, 20951 + ... + 21161.

Almost surely, 24442816 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 4442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169408).

4442816 is an abundant number, since it is smaller than the sum of its proper divisors (5896000).

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

4442816 is a wasteful number, since it uses less digits than its factorization.

4442816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 4442816 is about 2107.7988518832. The cubic root of 4442816 is about 164.3940553890.

It can be divided in two parts, 44428 and 16, that added together give a palindrome (44444).

The spelling of 4442816 in words is "four million, four hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 211 224 329 376 422 448 658 752 844 1316 1477 1504 1688 2632 2954 3008 3376 5264 5908 6752 9917 10528 11816 13504 19834 21056 23632 39668 47264 69419 79336 94528 138838 158672 277676 317344 555352 634688 1110704 2221408 4442816