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4297216 = 29711109
BaseRepresentation
bin10000011001001000000000
322002022200011
4100121020000
52100002331
6232034304
751345220
oct20311000
98068604
104297216
112475620
121532994
13b75c41
147dc080
1559d3b1
hex419200

4297216 has 80 divisors (see below), whose sum is σ = 10802880. Its totient is φ = 1658880.

The previous prime is 4297207. The next prime is 4297259. The reversal of 4297216 is 6127924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39370 + ... + 39478.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 24297216 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 4297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401440).

4297216 is an abundant number, since it is smaller than the sum of its proper divisors (6505664).

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

4297216 is a wasteful number, since it uses less digits than its factorization.

4297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 4297216 is about 2072.9727446351. The cubic root of 4297216 is about 162.5782313650.

The spelling of 4297216 in words is "four million, two hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 109 112 128 154 176 218 224 256 308 352 436 448 512 616 704 763 872 896 1199 1232 1408 1526 1744 1792 2398 2464 2816 3052 3488 3584 4796 4928 5632 6104 6976 8393 9592 9856 12208 13952 16786 19184 19712 24416 27904 33572 38368 39424 48832 55808 67144 76736 97664 134288 153472 195328 268576 306944 390656 537152 613888 1074304 2148608 4297216