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4104408 = 2337112221
BaseRepresentation
bin1111101010000011011000
321201112012010
433222003120
52022320113
6223545520
746613130
oct17520330
97645163
104104408
112353780
12145b2a0
13b09259
1478bac0
155611c3
hex3ea0d8

4104408 has 64 divisors (see below), whose sum is σ = 12798720. Its totient is φ = 1065600.

The previous prime is 4104403. The next prime is 4104421. The reversal of 4104408 is 8044014.

4104408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738 + ... + 2958.

It is an arithmetic number, because the mean of its divisors is an integer number (199980).

Almost surely, 24104408 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 4104408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399360).

4104408 is an abundant number, since it is smaller than the sum of its proper divisors (8694312).

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

4104408 is a wasteful number, since it uses less digits than its factorization.

4104408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4104408 is about 2025.9338587427. The cubic root of 4104408 is about 160.1094043414.

The spelling of 4104408 in words is "four million, one hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2221 4442 6663 8884 13326 15547 17768 24431 26652 31094 46641 48862 53304 62188 73293 93282 97724 124376 146586 171017 186564 195448 293172 342034 373128 513051 586344 684068 1026102 1368136 2052204 4104408