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5339736 = 233359419
BaseRepresentation
bin10100010111101001011000
3101001021202000
4110113221120
52331332421
6310241000
763246513
oct24275130
911037660
105339736
113017906
121956160
13114c60c
149cdd7a
15707226
hex517a58

5339736 has 64 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1745568.

The previous prime is 5339723. The next prime is 5339743. The reversal of 5339736 is 6379335.

5339736 is a `hidden beast` number, since 533 + 97 + 36 = 666.

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 5 + 36 + 312 + 9 + 75 + 314 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 5339736.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12535 + ... + 12953.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 25339736 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 5339736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

5339736 is an abundant number, since it is smaller than the sum of its proper divisors (9780264).

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

5339736 is a wasteful number, since it uses less digits than its factorization.

5339736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 483 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The square root of 5339736 is about 2310.7868789657. The cubic root of 5339736 is about 174.7859805446.

The spelling of 5339736 in words is "five million, three hundred thirty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 419 472 531 708 838 1062 1257 1416 1593 1676 2124 2514 3186 3352 3771 4248 5028 6372 7542 10056 11313 12744 15084 22626 24721 30168 45252 49442 74163 90504 98884 148326 197768 222489 296652 444978 593304 667467 889956 1334934 1779912 2669868 5339736