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4442424 = 233731853
BaseRepresentation
bin10000111100100100111000
322100200212020
4100330210320
52114124144
6235114440
752521450
oct20744470
98320766
104442424
112564728
1215a2a20
13bc706c
14838d60
155cb419
hex43c938

4442424 has 64 divisors (see below), whose sum is σ = 13117440. Its totient is φ = 1226880.

The previous prime is 4442413. The next prime is 4442429. The reversal of 4442424 is 4242444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4442394 and 4442403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4782 + ... + 5634.

It is an arithmetic number, because the mean of its divisors is an integer number (204960).

Almost surely, 24442424 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 4442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558720).

4442424 is an abundant number, since it is smaller than the sum of its proper divisors (8675016).

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

4442424 is a wasteful number, since it uses less digits than its factorization.

4442424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 4442424 is about 2107.7058618318. The cubic root of 4442424 is about 164.3892202900.

Adding to 4442424 its reverse (4242444), we get a palindrome (8684868).

The spelling of 4442424 in words is "four million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 853 868 1302 1706 1736 2559 2604 3412 5118 5208 5971 6824 10236 11942 17913 20472 23884 26443 35826 47768 52886 71652 79329 105772 143304 158658 185101 211544 317316 370202 555303 634632 740404 1110606 1480808 2221212 4442424