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104826656 = 2511227073
BaseRepresentation
bin1100011111110…
…00011100100000
321022020202010202
412033320130200
5203313423111
614222444332
72412004034
oct617703440
9238222122
10104826656
1154198900
122b1336a8
131894370c
14dcca1c4
159309b3b
hex63f8720

104826656 has 36 divisors (see below), whose sum is σ = 226853046. Its totient is φ = 47646720.

The previous prime is 104826653. The next prime is 104826671. The reversal of 104826656 is 656628401.

It can be written as a sum of positive squares in only one way, i.e., 89491600 + 15335056 = 9460^2 + 3916^2 .

It is not an unprimeable number, because it can be changed into a prime (104826653) 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 5 ways as a sum of consecutive naturals, for example, 9665 + ... + 17408.

Almost surely, 2104826656 is an apocalyptic number.

104826656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104826656 is an abundant number, since it is smaller than the sum of its proper divisors (122026390).

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

104826656 is a wasteful number, since it uses less digits than its factorization.

104826656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27105 (or 27086 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 104826656 is about 10238.4889510123. The cubic root of 104826656 is about 471.5096410844.

The spelling of 104826656 in words is "one hundred four million, eight hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 27073 54146 108292 216584 297803 433168 595606 866336 1191212 2382424 3275833 4764848 6551666 9529696 13103332 26206664 52413328 104826656