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8482848 = 2531129277
BaseRepresentation
bin100000010111…
…000000100000
3120221222021120
4200113000200
54132422343
6501452240
7132050223
oct40270040
916858246
108482848
114874320
122a11080
1319b014a
1411ab5ba
15b28683
hex817020

8482848 has 96 divisors (see below), whose sum is σ = 25220160. Its totient is φ = 2472960.

The previous prime is 8482829. The next prime is 8482891.

8482848 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×84828482 = 143917420382208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30486 + ... + 30762.

It is an arithmetic number, because the mean of its divisors is an integer number (262710).

Almost surely, 28482848 is an apocalyptic number.

8482848 is a gapful number since it is divisible by the number (88) 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 8482848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610080).

8482848 is an abundant number, since it is smaller than the sum of its proper divisors (16737312).

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

8482848 is a wasteful number, since it uses less digits than its factorization.

8482848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its digits is 131072, while the sum is 42.

The square root of 8482848 is about 2912.5329182689. The cubic root of 8482848 is about 203.9453909962.

The spelling of 8482848 in words is "eight million, four hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 277 319 348 352 464 528 554 638 696 831 928 957 1056 1108 1276 1392 1662 1914 2216 2552 2784 3047 3324 3828 4432 5104 6094 6648 7656 8033 8864 9141 10208 12188 13296 15312 16066 18282 24099 24376 26592 30624 32132 36564 48198 48752 64264 73128 88363 96396 97504 128528 146256 176726 192792 257056 265089 292512 353452 385584 530178 706904 771168 1060356 1413808 2120712 2827616 4241424 8482848