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4244444424 = 2332115990833
BaseRepresentation
bin1111110011111101…
…0001010100001000
3101221210200010011100
43330333101110020
532143034210144
61541101101400
7210116116353
oct37477212410
911853603140
104244444424
111888972a10
129a5557860
1352846a49c
142c39c529a
1519c95d269
hexfcfd1508

4244444424 has 96 divisors (see below), whose sum is σ = 12753093600. Its totient is φ = 1264381440.

The previous prime is 4244444419. The next prime is 4244444431.

4244444424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312 + ... + 92144.

It is an arithmetic number, because the mean of its divisors is an integer number (132844725).

Almost surely, 24244444424 is an apocalyptic number.

4244444424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244444424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376546800).

4244444424 is an abundant number, since it is smaller than the sum of its proper divisors (8508649176).

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

4244444424 is a wasteful number, since it uses less digits than its factorization.

4244444424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90915 (or 90908 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

The square root of 4244444424 is about 65149.4007954026. The cubic root of 4244444424 is about 1619.0997925004.

It can be divided in two parts, 42444 and 44424, that added together give a palindrome (86868).

The spelling of 4244444424 in words is "four billion, two hundred forty-four million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 472 531 649 708 792 1062 1298 1416 1947 2124 2596 3894 4248 5192 5841 7788 11682 15576 23364 46728 90833 181666 272499 363332 544998 726664 817497 999163 1089996 1634994 1998326 2179992 2997489 3269988 3996652 5359147 5994978 6539976 7993304 8992467 10718294 11989956 16077441 17984934 21436588 23979912 32154882 35969868 42873176 48232323 58950617 64309764 71939736 96464646 117901234 128619528 176851851 192929292 235802468 353703702 385858584 471604936 530555553 707407404 1061111106 1414814808 2122222212 4244444424