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26382848 = 292272
BaseRepresentation
bin110010010100…
…1001000000000
31211122101110112
41210221020000
523223222343
62341250452
7440151632
oct144511000
954571415
1026382848
111398a908
128a03a28
13560976b
14370aa52
1524b2218
hex1929200

26382848 has 30 divisors (see below), whose sum is σ = 52947411. Its totient is φ = 13133312.

The previous prime is 26382847. The next prime is 26382877. The reversal of 26382848 is 84828362.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 13191424 + 13191424 = 3632^2 + 3632^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3632.

It is a super-2 number, since 2×263828482 = 1392109337182208, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26382847) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 116111 + ... + 116337.

Almost surely, 226382848 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 26382848

26382848 is an abundant number, since it is smaller than the sum of its proper divisors (26564563).

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

26382848 is an frugal number, since it uses more digits than its factorization.

26382848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 229 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 26382848 is about 5136.4236585391. The cubic root of 26382848 is about 297.6966117901.

The spelling of 26382848 in words is "twenty-six million, three hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 512 908 1816 3632 7264 14528 29056 51529 58112 103058 116224 206116 412232 824464 1648928 3297856 6595712 13191424 26382848