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4424004424 = 237791019901
BaseRepresentation
bin1000001111011000…
…01111001101001000
3102102022112201011201
410013230033031020
533030021120144
62010553433544
7214426263040
oct40754171510
912368481151
104424004424
111970265004
12a3570b8b4
13556718cc8
142dd7a6720
151ad5cb1d4
hex107b0f348

4424004424 has 64 divisors (see below), whose sum is σ = 9696038400. Its totient is φ = 1853280000.

The previous prime is 4424004413. The next prime is 4424004521. The reversal of 4424004424 is 4244004244.

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 = 4424004392 and 4424004401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441874 + ... + 451774.

It is an arithmetic number, because the mean of its divisors is an integer number (151500600).

Almost surely, 24424004424 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 4424004424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848019200).

4424004424 is an abundant number, since it is smaller than the sum of its proper divisors (5272033976).

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

4424004424 is a wasteful number, since it uses less digits than its factorization.

4424004424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4424004424 is about 66513.1898498335. The cubic root of 4424004424 is about 1641.6170378371.

Adding to 4424004424 its reverse (4244004244), we get a palindrome (8668008668).

It can be divided in two parts, 442400 and 4424, that multiplied together give a square (1957177600 = 442402).

The spelling of 4424004424 in words is "four billion, four hundred twenty-four million, four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 79 101 158 202 316 404 553 632 707 808 1106 1414 2212 2828 4424 5656 7979 9901 15958 19802 31916 39604 55853 63832 69307 79208 111706 138614 223412 277228 446824 554456 782179 1000001 1564358 2000002 3128716 4000004 5475253 6257432 7000007 8000008 10950506 14000014 21901012 28000028 43802024 56000056 79000079 158000158 316000316 553000553 632000632 1106001106 2212002212 4424004424