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4129216 = 26713709
BaseRepresentation
bin1111110000000111000000
321202210012221
433300013000
52024113331
6224300424
750045350
oct17600700
97683187
104129216
112370383
121471714
13b17630
14796b60
15568711
hex3f01c0

4129216 has 56 divisors (see below), whose sum is σ = 10099040. Its totient is φ = 1631232.

The previous prime is 4129199. The next prime is 4129241. The reversal of 4129216 is 6129214.

It is a tau number, because it is divible by the number of its divisors (56).

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5470 + ... + 6178.

It is an arithmetic number, because the mean of its divisors is an integer number (180340).

Almost surely, 24129216 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 4129216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049520).

4129216 is an abundant number, since it is smaller than the sum of its proper divisors (5969824).

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

4129216 is a wasteful number, since it uses less digits than its factorization.

4129216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 4129216 is about 2032.0472435453. The cubic root of 4129216 is about 160.4313361372.

The spelling of 4129216 in words is "four million, one hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 709 728 832 1418 1456 2836 2912 4963 5672 5824 9217 9926 11344 18434 19852 22688 36868 39704 45376 64519 73736 79408 129038 147472 158816 258076 294944 317632 516152 589888 1032304 2064608 4129216