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4102016 = 2773439
BaseRepresentation
bin1111101001011110000000
321201101220112
433221132000
52022231031
6223530452
746603142
oct17513600
97641815
104102016
1123519a6
121459a28
13b08139
1478ac92
1556062b
hex3e9780

4102016 has 32 divisors (see below), whose sum is σ = 8302800. Its totient is φ = 2018304.

The previous prime is 4101991. The next prime is 4102037. The reversal of 4102016 is 6102014.

4102016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9125 + ... + 9563.

Almost surely, 24102016 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 4102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151400).

4102016 is an abundant number, since it is smaller than the sum of its proper divisors (4200784).

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

4102016 is an equidigital number, since it uses as much as digits as its factorization.

4102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4102016 is about 2025.3434276685. The cubic root of 4102016 is about 160.0782950139.

The spelling of 4102016 in words is "four million, one hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 439 584 878 1168 1756 2336 3512 4672 7024 9344 14048 28096 32047 56192 64094 128188 256376 512752 1025504 2051008 4102016