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4448930904 = 23321121274021
BaseRepresentation
bin1000010010010110…
…10100110001011000
3102111001110002212200
410021023110301120
533102411242104
62013244010200
7215151201015
oct41113246130
912431402780
104448930904
11198333a700
12a41b30960
1355b9358c2
14302c1470c
151b08a1b39
hex1092d4c58

4448930904 has 144 divisors (see below), whose sum is σ = 13351752960. Its totient is φ = 1337212800.

The previous prime is 4448930839. The next prime is 4448930933. The reversal of 4448930904 is 4090398444.

It is a self number, because there is not a number n which added to its sum of digits gives 4448930904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1104414 + ... + 1108434.

Almost surely, 24448930904 is an apocalyptic number.

4448930904 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 4448930904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675876480).

4448930904 is an abundant number, since it is smaller than the sum of its proper divisors (8902822056).

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

4448930904 is a wasteful number, since it uses less digits than its factorization.

4448930904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4448930904 is about 66700.3066259819. The cubic root of 4448930904 is about 1644.6944248750.

The spelling of 4448930904 in words is "four billion, four hundred forty-eight million, nine hundred thirty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 127 132 198 242 254 264 363 381 396 484 508 726 762 792 968 1016 1089 1143 1397 1452 1524 2178 2286 2794 2904 3048 4021 4191 4356 4572 5588 8042 8382 8712 9144 11176 12063 12573 15367 16084 16764 24126 25146 30734 32168 33528 36189 44231 46101 48252 50292 61468 72378 88462 92202 96504 100584 122936 132693 138303 144756 176924 184404 265386 276606 289512 353848 368808 398079 486541 510667 530772 553212 796158 973082 1021334 1061544 1106424 1459623 1532001 1592316 1946164 2042668 2919246 3064002 3184632 3892328 4085336 4378869 4596003 5617337 5838492 6128004 8757738 9192006 11234674 11676984 12256008 16852011 17515476 18384012 22469348 33704022 35030952 36768024 44938696 50556033 61790707 67408044 101112066 123581414 134816088 185372121 202224132 247162828 370744242 404448264 494325656 556116363 741488484 1112232726 1482976968 2224465452 4448930904