Search a number
-
+
489552448 = 267113821
BaseRepresentation
bin11101001011011…
…111101001000000
31021010011211201011
4131023133221000
52000311134243
6120324450304
715063061420
oct3513375100
91233154634
10489552448
11231381000
12117b49994
137a567908
1449036480
152cea289d
hex1d2dfa40

489552448 has 112 divisors (see below), whose sum is σ = 1222662528. Its totient is φ = 190502400.

The previous prime is 489552431. The next prime is 489552449. The reversal of 489552448 is 844255984.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (489552449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595878 + ... + 596698.

Almost surely, 2489552448 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 489552448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611331264).

489552448 is an abundant number, since it is smaller than the sum of its proper divisors (733110080).

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

489552448 is an equidigital number, since it uses as much as digits as its factorization.

489552448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 841 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 49.

The square root of 489552448 is about 22125.8321425432. The cubic root of 489552448 is about 788.1334172475.

It can be divided in two parts, 489552 and 448, that added together give a square (490000 = 7002).

The spelling of 489552448 in words is "four hundred eighty-nine million, five hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 821 847 968 1232 1331 1642 1694 1936 2464 2662 3284 3388 3872 4928 5324 5747 6568 6776 7744 9031 9317 10648 11494 13136 13552 18062 18634 21296 22988 26272 27104 36124 37268 42592 45976 52544 54208 63217 72248 74536 85184 91952 99341 126434 144496 149072 183904 198682 252868 288992 298144 367808 397364 505736 577984 596288 695387 794728 1011472 1092751 1390774 1589456 2022944 2185502 2781548 3178912 4045888 4371004 5563096 6357824 7649257 8742008 11126192 15298514 17484016 22252384 30597028 34968032 44504768 61194056 69936064 122388112 244776224 489552448