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4196296 = 2313157257
BaseRepresentation
bin10000000000011111001000
321220012020101
4100000133020
52033240141
6225535144
750445046
oct20003710
97805211
104196296
112406815
1214a44b4
13b3c020
147b3396
1557d531
hex4007c8

4196296 has 32 divisors (see below), whose sum is σ = 8560440. Its totient is φ = 1916928.

The previous prime is 4196267. The next prime is 4196299. The reversal of 4196296 is 6926914.

4196296 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3663396 + 532900 = 1914^2 + 730^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4196299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16200 + ... + 16456.

Almost surely, 24196296 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 4196296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280220).

4196296 is an abundant number, since it is smaller than the sum of its proper divisors (4364144).

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

4196296 is a wasteful number, since it uses less digits than its factorization.

4196296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 4196296 is about 2048.4862703958. The cubic root of 4196296 is about 161.2954209726.

The spelling of 4196296 in words is "four million, one hundred ninety-six thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 104 157 257 314 514 628 1028 1256 2041 2056 3341 4082 6682 8164 13364 16328 26728 40349 80698 161396 322792 524537 1049074 2098148 4196296