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4077104 = 24377197
BaseRepresentation
bin1111100011011000110000
321200010201212
433203120300
52020431404
6223215252
746440413
oct17433060
97603655
104077104
112335209
121447528
13ac99b5
14781b7a
1555806e
hex3e3630

4077104 has 40 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1935360.

The previous prime is 4077103. The next prime is 4077121. The reversal of 4077104 is 4017704.

4077104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4077104.

It is not an unprimeable number, because it can be changed into a prime (4077103) 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 7 ways as a sum of consecutive naturals, for example, 41984 + ... + 42080.

Almost surely, 24077104 is an apocalyptic number.

It is an amenable number.

4077104 is an abundant number, since it is smaller than the sum of its proper divisors (4234864).

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

4077104 is a wasteful number, since it uses less digits than its factorization.

4077104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 4077104 is about 2019.1839935974. The cubic root of 4077104 is about 159.7535790075.

The spelling of 4077104 in words is "four million, seventy-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 37 71 74 97 142 148 194 284 296 388 568 592 776 1136 1552 2627 3589 5254 6887 7178 10508 13774 14356 21016 27548 28712 42032 55096 57424 110192 254819 509638 1019276 2038552 4077104