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104427648 = 27321319367
BaseRepresentation
bin1100011100101…
…11000010000000
321021111110210200
412032113002000
5203213141043
614210125200
72405422533
oct616270200
9237443720
10104427648
1153a46046
122ab80800
1318833c10
14dc24a1a
15927b7d3
hex6397080

104427648 has 192 divisors, whose sum is σ = 341577600. Its totient is φ = 30357504.

The previous prime is 104427601. The next prime is 104427671. The reversal of 104427648 is 846724401.

104427648 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284361 + ... + 284727.

It is an arithmetic number, because the mean of its divisors is an integer number (1779050).

Almost surely, 2104427648 is an apocalyptic number.

104427648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104427648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170788800).

104427648 is an abundant number, since it is smaller than the sum of its proper divisors (237149952).

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

104427648 is a wasteful number, since it uses less digits than its factorization.

104427648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 104427648 is about 10218.9846853785. The cubic root of 104427648 is about 470.9106352694.

The spelling of 104427648 in words is "one hundred four million, four hundred twenty-seven thousand, six hundred forty-eight".