Search a number
-
+
4984848 = 2433111049
BaseRepresentation
bin10011000001000000010000
3100101020221000
4103001000100
52234003343
6254502000
760241041
oct23010020
910336830
104984848
1128a5210
121804900
131056c1b
1493a8c8
15686ed3
hex4c1010

4984848 has 80 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1509120.

The previous prime is 4984841. The next prime is 4984849. The reversal of 4984848 is 8484894.

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

It is not an unprimeable number, because it can be changed into a prime (4984841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4228 + ... + 5276.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 24984848 is an apocalyptic number.

4984848 is a gapful number since it is divisible by the number (48) 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 4984848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

4984848 is an abundant number, since it is smaller than the sum of its proper divisors (10639152).

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

4984848 is a wasteful number, since it uses less digits than its factorization.

4984848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 4984848 is about 2232.6773165865. The cubic root of 4984848 is about 170.8246895223.

It can be divided in two parts, 4984 and 848, that added together give a cube (5832 = 183).

The spelling of 4984848 in words is "four million, nine hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1049 1188 1584 2098 2376 3147 4196 4752 6294 8392 9441 11539 12588 16784 18882 23078 25176 28323 34617 37764 46156 50352 56646 69234 75528 92312 103851 113292 138468 151056 184624 207702 226584 276936 311553 415404 453168 553872 623106 830808 1246212 1661616 2492424 4984848