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5266128 = 243722239
BaseRepresentation
bin10100000101101011010000
3100220112202210
4110011223100
52322004003
6304512120
762522100
oct24055320
910815683
105266128
112a7757a
12191b640
131124c6a
149b1200
156e0503
hex505ad0

5266128 has 60 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1503936.

The previous prime is 5266127. The next prime is 5266153. The reversal of 5266128 is 8216625.

It is a super-2 number, since 2×52661282 = 55464208224768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5266095 and 5266104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5266123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (263872).

Almost surely, 25266128 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 5266128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

5266128 is an abundant number, since it is smaller than the sum of its proper divisors (10566192).

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

5266128 is a wasteful number, since it uses less digits than its factorization.

5266128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2251 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 5266128 is about 2294.8045668422. The cubic root of 5266128 is about 173.9791228750.

The spelling of 5266128 in words is "five million, two hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2239 2352 4478 6717 8956 13434 15673 17912 26868 31346 35824 47019 53736 62692 94038 107472 109711 125384 188076 219422 250768 329133 376152 438844 658266 752304 877688 1316532 1755376 2633064 5266128