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5281656 = 233312229
BaseRepresentation
bin10100001001011101111000
3100221100001220
4110021131320
52323003111
6305112040
762615262
oct24113570
910840056
105281656
112a88206
121928620
13112c053
149b6b32
156e4e06
hex509778

5281656 has 48 divisors (see below), whose sum is σ = 13703400. Its totient is φ = 1696320.

The previous prime is 5281649. The next prime is 5281657. The reversal of 5281656 is 6561825.

Its product of digits (14400) is a multiple of the sum of its prime factors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5281657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22950 + ... + 23178.

Almost surely, 25281656 is an apocalyptic number.

5281656 is the 1454-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5281656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851700).

5281656 is an abundant number, since it is smaller than the sum of its proper divisors (8421744).

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

5281656 is a wasteful number, since it uses less digits than its factorization.

5281656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 265 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 5281656 is about 2298.1853711135. The cubic root of 5281656 is about 174.1499566039.

The spelling of 5281656 in words is "five million, two hundred eighty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 229 248 372 458 687 744 916 961 1374 1832 1922 2748 2883 3844 5496 5766 7099 7688 11532 14198 21297 23064 28396 42594 56792 85188 170376 220069 440138 660207 880276 1320414 1760552 2640828 5281656