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4204096 = 261331163
BaseRepresentation
bin10000000010011001000000
321220120221021
4100002121000
52034012341
6230035224
750506561
oct20023100
97816837
104204096
112411666
1214a8b14
13b42740
147b6168
155809d1
hex402640

4204096 has 56 divisors (see below), whose sum is σ = 9330944. Its totient is φ = 1866240.

The previous prime is 4204091. The next prime is 4204097. The reversal of 4204096 is 6904024.

4204096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4204096.

It is not an unprimeable number, because it can be changed into a prime (4204091) by changing a digit.

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, 25711 + ... + 25873.

It is an arithmetic number, because the mean of its divisors is an integer number (166624).

Almost surely, 24204096 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 4204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665472).

4204096 is an abundant number, since it is smaller than the sum of its proper divisors (5126848).

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

4204096 is a wasteful number, since it uses less digits than its factorization.

4204096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 4204096 is about 2050.3892313412. The cubic root of 4204096 is about 161.3952967975.

The spelling of 4204096 in words is "four million, two hundred four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 163 208 248 326 403 416 496 652 806 832 992 1304 1612 1984 2119 2608 3224 4238 5053 5216 6448 8476 10106 10432 12896 16952 20212 25792 33904 40424 65689 67808 80848 131378 135616 161696 262756 323392 525512 1051024 2102048 4204096