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26882048 = 2126563
BaseRepresentation
bin110011010001…
…1000000000000
31212120202020102
41212203000000
523340211143
62400101532
7444331214
oct146430000
955522212
1026882048
11141a0976
1290048a8
135752a4b
1437da944
1525600b8
hex19a3000

26882048 has 26 divisors (see below), whose sum is σ = 53765724. Its totient is φ = 13438976.

The previous prime is 26882039. The next prime is 26882057. The reversal of 26882048 is 84028862.

It is an interprime number because it is at equal distance from previous prime (26882039) and next prime (26882057).

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 as a sum of consecutive naturals, namely, 815 + ... + 7377.

Almost surely, 226882048 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 26882048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26882862).

26882048 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

26882048 is an frugal number, since it uses more digits than its factorization.

26882048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 26882048 is about 5184.7900632523. The cubic root of 26882048 is about 299.5625030389.

The spelling of 26882048 in words is "twenty-six million, eight hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 6563 13126 26252 52504 105008 210016 420032 840064 1680128 3360256 6720512 13441024 26882048