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4444020 = 2232573527
BaseRepresentation
bin10000111100111101110100
322100210001100
4100330331310
52114202040
6235130100
752526220
oct20747564
98323040
104444020
112565949
1215a3930
13bc79c9
14839780
155cbb30
hex43cf74

4444020 has 72 divisors (see below), whose sum is σ = 15410304. Its totient is φ = 1015488.

The previous prime is 4444001. The next prime is 4444049. The reversal of 4444020 is 204444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4443984 and 4444002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 24444020 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 4444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705152).

4444020 is an abundant number, since it is smaller than the sum of its proper divisors (10966284).

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

4444020 is a wasteful number, since it uses less digits than its factorization.

4444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4444020 is about 2108.0844385366. The cubic root of 4444020 is about 164.4089042720.

Adding to 4444020 its reverse (204444), we get a palindrome (4648464).

The spelling of 4444020 in words is "four million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3527 7054 10581 14108 17635 21162 24689 31743 35270 42324 49378 52905 63486 70540 74067 98756 105810 123445 126972 148134 158715 211620 222201 246890 296268 317430 370335 444402 493780 634860 740670 888804 1111005 1481340 2222010 4444020