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5259456 = 263223397
BaseRepresentation
bin10100000100000011000000
3100220012121200
4110010003000
52321300311
6304421200
762463456
oct24040300
910805550
105259456
112a72564
121917800
131121c07
149ac9d6
156dd556
hex5040c0

5259456 has 84 divisors (see below), whose sum is σ = 15770352. Its totient is φ = 1672704.

The previous prime is 5259427. The next prime is 5259473. The reversal of 5259456 is 6549525.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5259456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13050 + ... + 13446.

Almost surely, 25259456 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 5259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885176).

5259456 is an abundant number, since it is smaller than the sum of its proper divisors (10510896).

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

5259456 is a wasteful number, since it uses less digits than its factorization.

5259456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 5259456 is about 2293.3503875335. The cubic root of 5259456 is about 173.9056166684.

It can be divided in two parts, 52594 and 56, that added together give a triangular number (52650 = T324).

The spelling of 5259456 in words is "five million, two hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 397 414 552 576 736 794 828 1104 1191 1472 1588 1656 2208 2382 3176 3312 3573 4416 4764 6352 6624 7146 9131 9528 12704 13248 14292 18262 19056 25408 27393 28584 36524 38112 54786 57168 73048 76224 82179 109572 114336 146096 164358 219144 228672 292192 328716 438288 584384 657432 876576 1314864 1753152 2629728 5259456