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5262112 = 25172569
BaseRepresentation
bin10100000100101100100000
3100220100021001
4110010230200
52321341422
6304441344
762504302
oct24045440
910810231
105262112
112a74559
121919254
13112319b
149ad972
156de227
hex504b20

5262112 has 36 divisors (see below), whose sum is σ = 11024370. Its totient is φ = 2471936.

The previous prime is 5262109. The next prime is 5262121. The reversal of 5262112 is 2112625.

It can be written as a sum of positive squares in 3 ways, for example, as 4857616 + 404496 = 2204^2 + 636^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5262112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8964 + ... + 9532.

Almost surely, 25262112 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 5262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512185).

5262112 is an abundant number, since it is smaller than the sum of its proper divisors (5762258).

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

5262112 is a wasteful number, since it uses less digits than its factorization.

5262112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 588 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 5262112 is about 2293.9293799069. The cubic root of 5262112 is about 173.9348855755.

Adding to 5262112 its reverse (2112625), we get a palindrome (7374737).

The spelling of 5262112 in words is "five million, two hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 569 578 1138 1156 2276 2312 4552 4624 9104 9248 9673 18208 19346 38692 77384 154768 164441 309536 328882 657764 1315528 2631056 5262112