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4442020 = 2251161331
BaseRepresentation
bin10000111100011110100100
322100200022021
4100330132210
52114121040
6235112524
752520332
oct20743644
98320267
104442020
1125643a0
1215a2744
13bc6b1b
14838b52
155cb24a
hex43c7a4

4442020 has 48 divisors (see below), whose sum is σ = 10374336. Its totient is φ = 1584000.

The previous prime is 4442003. The next prime is 4442027. The reversal of 4442020 is 202444.

It is a junction number, because it is equal to n+sod(n) for n = 4441985 and 4442003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13255 + ... + 13585.

It is an arithmetic number, because the mean of its divisors is an integer number (216132).

Almost surely, 24442020 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 4442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187168).

4442020 is an abundant number, since it is smaller than the sum of its proper divisors (5932316).

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

4442020 is a wasteful number, since it uses less digits than its factorization.

4442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4442020 is about 2107.6100208530. The cubic root of 4442020 is about 164.3842368802.

Adding to 4442020 its reverse (202444), we get a palindrome (4644464).

The spelling of 4442020 in words is "four million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 331 610 662 671 1220 1324 1342 1655 2684 3310 3355 3641 6620 6710 7282 13420 14564 18205 20191 36410 40382 72820 80764 100955 201910 222101 403820 444202 888404 1110505 2221010 4442020