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4240880424 = 2332112926367
BaseRepresentation
bin1111110011000110…
…1011001100101000
3101221112222001021100
43330301223030220
532141131133144
61540452441400
7210043613604
oct37461531450
911845861240
104240880424
111886959260
129a4319260
135277c0201
142c3338504
1519c4a7269
hexfcc6b328

4240880424 has 144 divisors (see below), whose sum is σ = 12978875520. Its totient is φ = 1240606080.

The previous prime is 4240880419. The next prime is 4240880437.

4240880424 is nontrivially palindromic in base 10.

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

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 35 ways as a sum of consecutive naturals, for example, 662889 + ... + 669255.

It is an arithmetic number, because the mean of its divisors is an integer number (90131080).

Almost surely, 24240880424 is an apocalyptic number.

4240880424 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 4240880424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489437760).

4240880424 is an abundant number, since it is smaller than the sum of its proper divisors (8737995096).

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

4240880424 is a wasteful number, since it uses less digits than its factorization.

4240880424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4240880424 is about 65122.0425355348. The cubic root of 4240880424 is about 1618.6464871938.

The spelling of 4240880424 in words is "four billion, two hundred forty million, eight hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 841 957 1044 1276 1682 1914 2088 2523 2552 2871 3364 3828 5046 5742 6367 6728 7569 7656 9251 10092 11484 12734 15138 18502 19101 20184 22968 25468 27753 30276 37004 38202 50936 55506 57303 60552 70037 74008 76404 83259 111012 114606 140074 152808 166518 184643 210111 222024 229212 280148 333036 369286 420222 458424 553929 560296 630333 666072 738572 840444 1107858 1260666 1477144 1661787 1680888 2031073 2215716 2521332 3323574 4062146 4431432 5042664 5354647 6093219 6647148 8124292 10709294 12186438 13294296 16063941 16248584 18279657 21418588 24372876 32127882 36559314 42837176 48191823 48745752 58901117 64255764 73118628 96383646 117802234 128511528 146237256 176703351 192767292 235604468 353406702 385534584 471208936 530110053 706813404 1060220106 1413626808 2120440212 4240880424