Search a number
-
+
4196096 = 2837443
BaseRepresentation
bin10000000000011100000000
321220011221222
4100000130000
52033233341
6225534212
750444342
oct20003400
97804858
104196096
112406653
1214a4368
13b3bbc8
147b3292
1557d44b
hex400700

4196096 has 36 divisors (see below), whose sum is σ = 8621592. Its totient is φ = 2036736.

The previous prime is 4196089. The next prime is 4196099. The reversal of 4196096 is 6906914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196099) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9251 + ... + 9693.

Almost surely, 24196096 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 4196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310796).

4196096 is an abundant number, since it is smaller than the sum of its proper divisors (4425496).

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

4196096 is an equidigital number, since it uses as much as digits as its factorization.

4196096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 4196096 is about 2048.4374532799. The cubic root of 4196096 is about 161.2928584272.

The spelling of 4196096 in words is "four million, one hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 443 592 886 1184 1772 2368 3544 4736 7088 9472 14176 16391 28352 32782 56704 65564 113408 131128 262256 524512 1049024 2098048 4196096