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4096896 = 27347227
BaseRepresentation
bin1111101000001110000000
321201010212220
433220032000
52022100041
6223451040
746552206
oct17501600
97633786
104096896
112349071
121456a80
13b059cb
14789076
1555dd66
hex3e8380

4096896 has 64 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 1330688.

The previous prime is 4096891. The next prime is 4096927. The reversal of 4096896 is 6986904.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096891) 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, 17935 + ... + 18161.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

Almost surely, 24096896 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 4096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).

4096896 is an abundant number, since it is smaller than the sum of its proper divisors (7065984).

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

4096896 is a wasteful number, since it uses less digits than its factorization.

4096896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4096896 is about 2024.0790498397. The cubic root of 4096896 is about 160.0116658161.

The spelling of 4096896 in words is "four million, ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 227 282 376 384 454 564 681 752 908 1128 1362 1504 1816 2256 2724 3008 3632 4512 5448 6016 7264 9024 10669 10896 14528 18048 21338 21792 29056 32007 42676 43584 64014 85352 87168 128028 170704 256056 341408 512112 682816 1024224 1365632 2048448 4096896