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4198116 = 22313171583
BaseRepresentation
bin10000000000111011100100
321220021201210
4100000323210
52033314431
6225551420
750453256
oct20007344
97807653
104198116
11240811a
1214a5570
13b3cac0
147b3cd6
1557dd46
hex400ee4

4198116 has 48 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 1214976.

The previous prime is 4198111. The next prime is 4198141. The reversal of 4198116 is 6118914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 24198116 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 4198116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

4198116 is an abundant number, since it is smaller than the sum of its proper divisors (6978588).

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

4198116 is a wasteful number, since it uses less digits than its factorization.

4198116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 4198116 is about 2048.9304526997. The cubic root of 4198116 is about 161.3187363946.

The spelling of 4198116 in words is "four million, one hundred ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 1583 2652 3166 4749 6332 9498 18996 20579 26911 41158 53822 61737 80733 82316 107644 123474 161466 246948 322932 349843 699686 1049529 1399372 2099058 4198116