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5306056 = 237412311
BaseRepresentation
bin10100001111011011001000
3100222120112121
4110033123020
52324243211
6305421024
763046360
oct24173310
910876477
105306056
112aa4578
12193a774
13113a1a2
149c19a0
156ec271
hex50f6c8

5306056 has 32 divisors (see below), whose sum is σ = 11652480. Its totient is φ = 2217600.

The previous prime is 5306051. The next prime is 5306069. The reversal of 5306056 is 6506035.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5306056.

It is not an unprimeable number, because it can be changed into a prime (5306051) 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 7 ways as a sum of consecutive naturals, for example, 1141 + ... + 3451.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 25306056 is an apocalyptic number.

5306056 is a gapful number since it is divisible by the number (56) 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 5306056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826240).

5306056 is an abundant number, since it is smaller than the sum of its proper divisors (6346424).

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

5306056 is a wasteful number, since it uses less digits than its factorization.

5306056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 5306056 is about 2303.4877902867. The cubic root of 5306056 is about 174.4177218756.

The spelling of 5306056 in words is "five million, three hundred six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 2311 4622 9244 16177 18488 32354 64708 94751 129416 189502 379004 663257 758008 1326514 2653028 5306056