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4046016 = 263131621
BaseRepresentation
bin1111011011110011000000
321121120002110
433123303000
52013433031
6222415320
746250652
oct17336300
97546073
104046016
112313917
121431540
13ab87c0
147746d2
1554dc46
hex3dbcc0

4046016 has 56 divisors (see below), whose sum is σ = 11535664. Its totient is φ = 1244160.

The previous prime is 4046011. The next prime is 4046033. The reversal of 4046016 is 6106404.

It is a junction number, because it is equal to n+sod(n) for n = 4045983 and 4046001.

It is not an unprimeable number, because it can be changed into a prime (4046011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1686 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (205994).

Almost surely, 24046016 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 4046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767832).

4046016 is an abundant number, since it is smaller than the sum of its proper divisors (7489648).

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

4046016 is a wasteful number, since it uses less digits than its factorization.

4046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4046016 is about 2011.4711034464. The cubic root of 4046016 is about 159.3465011711.

It can be divided in two parts, 40 and 46016, that added together give a triangular number (46056 = T303).

The spelling of 4046016 in words is "four million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1621 2496 3242 4863 6484 9726 12968 19452 21073 25936 38904 42146 51872 63219 77808 84292 103744 126438 155616 168584 252876 311232 337168 505752 674336 1011504 1348672 2023008 4046016