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2663856 = 2432131423
BaseRepresentation
bin1010001010010110110000
312000100010100
422022112300
51140220411
6133032400
731433226
oct12122660
95010110
102663856
11155a438
12a85700
13723660
144d4b16
15379456
hex28a5b0

2663856 has 60 divisors (see below), whose sum is σ = 8034208. Its totient is φ = 819072.

The previous prime is 2663831. The next prime is 2663867. The reversal of 2663856 is 6583662.

2663856 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×26638562 = 14192257577472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 219 + 63 + 64 + 311 + 8 + 59 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 2663856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161 + ... + 2583.

22663856 is an apocalyptic number.

2663856 is a gapful number since it is divisible by the number (26) 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 2663856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017104).

2663856 is an abundant number, since it is smaller than the sum of its proper divisors (5370352).

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

2663856 is a wasteful number, since it uses less digits than its factorization.

2663856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1441 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2663856 is about 1632.1323475748. The cubic root of 2663856 is about 138.6235175575.

The spelling of 2663856 in words is "two million, six hundred sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1423 1872 2846 4269 5692 8538 11384 12807 17076 18499 22768 25614 34152 36998 51228 55497 68304 73996 102456 110994 147992 166491 204912 221988 295984 332982 443976 665964 887952 1331928 2663856