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4196801 = 72412089
BaseRepresentation
bin10000000000100111000001
321220012221002
4100000213001
52033244201
6225541345
750446400
oct20004701
97805832
104196801
112407134
1214a4855
13b3c31b
147b3637
1557d76b
hex4009c1

4196801 has 12 divisors (see below), whose sum is σ = 5003460. Its totient is φ = 3507840.

The previous prime is 4196791. The next prime is 4196809. The reversal of 4196801 is 1086914.

It can be written as a sum of positive squares in 2 ways, for example, as 1825201 + 2371600 = 1351^2 + 1540^2 .

It is not a de Polignac number, because 4196801 - 26 = 4196737 is a prime.

It is a super-2 number, since 2×41968012 = 35226277267202, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4196809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965 + ... + 3053.

It is an arithmetic number, because the mean of its divisors is an integer number (416955).

Almost surely, 24196801 is an apocalyptic number.

4196801 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4196801 is a deficient number, since it is larger than the sum of its proper divisors (806659).

4196801 is a wasteful number, since it uses less digits than its factorization.

4196801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 4196801 is about 2048.6095284363. The cubic root of 4196801 is about 161.3018910373.

The spelling of 4196801 in words is "four million, one hundred ninety-six thousand, eight hundred one".

Divisors: 1 7 41 49 287 2009 2089 14623 85649 102361 599543 4196801