Search a number
-
+
489361248 = 25322373877
BaseRepresentation
bin11101001010110…
…000111101100000
31021002211010102200
4131022300331200
52000234024443
6120320413200
715061334115
oct3512607540
91232733380
10489361248
11231260392
12117a77200
137a4cb88c
1448dc690c
152ce65dd3
hex1d2b0f60

489361248 has 72 divisors (see below), whose sum is σ = 1452145968. Its totient is φ = 156026112.

The previous prime is 489361247. The next prime is 489361309. The reversal of 489361248 is 842163984.

It is a happy number.

489361248 is a `hidden beast` number, since 48 + 9 + 361 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489361241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30315 + ... + 43562.

It is an arithmetic number, because the mean of its divisors is an integer number (20168694).

Almost surely, 2489361248 is an apocalyptic number.

489361248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

489361248 is an abundant number, since it is smaller than the sum of its proper divisors (962784720).

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

489361248 is a wasteful number, since it uses less digits than its factorization.

489361248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73916 (or 73905 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 489361248 is about 22121.5109791352. The cubic root of 489361248 is about 788.0307992119.

The spelling of 489361248 in words is "four hundred eighty-nine million, three hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 73877 147754 221631 295508 443262 591016 664893 886524 1182032 1329786 1699171 1773048 2364064 2659572 3398342 3546096 5097513 5319144 6796684 7092192 10195026 10638288 13593368 15292539 20390052 21276576 27186736 30585078 40780104 54373472 61170156 81560208 122340312 163120416 244680624 489361248