Search a number
-
+
489644352 = 2634293257
BaseRepresentation
bin11101001011110…
…110000101000000
31021010100111210000
4131023312011000
52000322104402
6120330440000
715063623361
oct3513660500
91233314700
10489644352
1123143405a
12117b93000
137a59a6b2
144905bb68
152cebec1c
hex1d2f6140

489644352 has 140 divisors (see below), whose sum is σ = 1501970580. Its totient is φ = 157538304.

The previous prime is 489644299. The next prime is 489644359. The reversal of 489644352 is 253446984.

It can be written as a sum of positive squares in 2 ways, for example, as 345067776 + 144576576 = 18576^2 + 12024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 489644298 and 489644307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489644359) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 148708 + ... + 151964.

Almost surely, 2489644352 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 489644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750985290).

489644352 is an abundant number, since it is smaller than the sum of its proper divisors (1012326228).

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

489644352 is a wasteful number, since it uses less digits than its factorization.

489644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3291 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 489644352 is about 22127.9088935218. The cubic root of 489644352 is about 788.1827330949.

The spelling of 489644352 in words is "four hundred eighty-nine million, six hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 3257 4176 4698 5184 5568 6264 6514 8352 9396 9771 12528 13028 16704 18792 19542 25056 26056 29313 37584 39084 50112 52112 58626 75168 78168 87939 94453 104224 117252 150336 156336 175878 188906 208448 234504 263817 283359 312672 351756 377812 469008 527634 566718 625344 703512 755624 850077 938016 1055268 1133436 1407024 1511248 1700154 1876032 2110536 2266872 2550231 2814048 3022496 3400308 4221072 4533744 5100462 5628096 6044992 6800616 7650693 8442144 9067488 10200924 13601232 15301386 16884288 18134976 20401848 27202464 30602772 40803696 54404928 61205544 81607392 122411088 163214784 244822176 489644352