Search a number
-
+
4224433024 = 27717327253
BaseRepresentation
bin1111101111001011…
…1011101110000000
3101220102000102200101
43323302323232000
532122423324044
61535104132144
7206454042160
oct37362735600
911812012611
104224433024
111878645069
1299a907054
13524281b16
142c10965a0
1519ad08cd4
hexfbcbbb80

4224433024 has 64 divisors (see below), whose sum is σ = 9674079840. Its totient is φ = 1799940096.

The previous prime is 4224433007. The next prime is 4224433033. The reversal of 4224433024 is 4203344224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 4224432983 and 4224433001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141382 + ... + 168634.

Almost surely, 24224433024 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 4224433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837039920).

4224433024 is an abundant number, since it is smaller than the sum of its proper divisors (5449646816).

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

4224433024 is a wasteful number, since it uses less digits than its factorization.

4224433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27447 (or 27435 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 4224433024 is about 64995.6384998255. The cubic root of 4224433024 is about 1616.5512448058.

Adding to 4224433024 its reverse (4203344224), we get a palindrome (8427777248).

The spelling of 4224433024 in words is "four billion, two hundred twenty-four million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 346 448 692 896 1211 1384 2422 2768 4844 5536 9688 11072 19376 22144 27253 38752 54506 77504 109012 155008 190771 218024 381542 436048 763084 872096 1526168 1744192 3052336 3488384 4714769 6104672 9429538 12209344 18859076 24418688 33003383 37718152 66006766 75436304 132013532 150872608 264027064 301745216 528054128 603490432 1056108256 2112216512 4224433024