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8483136 = 2631723113
BaseRepresentation
bin100000010111…
…000101000000
3120221222200020
4200113011000
54132430021
6501453440
7132051114
oct40270500
916858606
108483136
114874562
122a11280
1319b030c
1411ab744
15b287c6
hex817140

8483136 has 112 divisors (see below), whose sum is σ = 25017984. Its totient is φ = 2523136.

The previous prime is 8483131. The next prime is 8483141. The reversal of 8483136 is 6313848.

8483136 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8483131) and next prime (8483141).

It is a Smith number, since the sum of its digits (33) 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 junction number, because it is equal to n+sod(n) for n = 8483097 and 8483106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8483131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75016 + ... + 75128.

Almost surely, 28483136 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 8483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12508992).

8483136 is an abundant number, since it is smaller than the sum of its proper divisors (16534848).

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

8483136 is a wasteful number, since it uses less digits than its factorization.

8483136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 8483136 is about 2912.5823593505. The cubic root of 8483136 is about 203.9476990107.

The spelling of 8483136 in words is "eight million, four hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 113 136 138 184 192 204 226 272 276 339 368 391 408 452 544 552 678 736 782 816 904 1088 1104 1173 1356 1472 1564 1632 1808 1921 2208 2346 2599 2712 3128 3264 3616 3842 4416 4692 5198 5424 5763 6256 7232 7684 7797 9384 10396 10848 11526 12512 15368 15594 18768 20792 21696 23052 25024 30736 31188 37536 41584 44183 46104 61472 62376 75072 83168 88366 92208 122944 124752 132549 166336 176732 184416 249504 265098 353464 368832 499008 530196 706928 1060392 1413856 2120784 2827712 4241568 8483136