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26858728 = 23131012557
BaseRepresentation
bin110011001110…
…1010011101000
31212112120020201
41212131103220
523333434403
62355401544
7444203221
oct146352350
955476221
1026858728
11141853a6
128bb32b4
135745250
1437d2248
15255821d
hex199d4e8

26858728 has 32 divisors (see below), whose sum is σ = 54792360. Its totient is φ = 12268800.

The previous prime is 26858701. The next prime is 26858729. The reversal of 26858728 is 82785862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24029604 + 2829124 = 4902^2 + 1682^2 .

It is not an unprimeable number, because it can be changed into a prime (26858729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9226 + ... + 11782.

Almost surely, 226858728 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 26858728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27396180).

26858728 is an abundant number, since it is smaller than the sum of its proper divisors (27933632).

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

26858728 is a wasteful number, since it uses less digits than its factorization.

26858728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2673 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The square root of 26858728 is about 5182.5406896618. The cubic root of 26858728 is about 299.4758551443.

It can be divided in two parts, 268 and 58728, that added together give a triangular number (58996 = T343).

The spelling of 26858728 in words is "twenty-six million, eight hundred fifty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 808 1313 2557 2626 5114 5252 10228 10504 20456 33241 66482 132964 258257 265928 516514 1033028 2066056 3357341 6714682 13429364 26858728