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4098138 = 2311312003
BaseRepresentation
bin1111101000100001011010
321201012120220
433220201122
52022120023
6223500510
746555632
oct17504132
97635526
104098138
112349aa0
121457736
13b06445
147896c2
1555e3e3
hex3e885a

4098138 has 32 divisors (see below), whose sum is σ = 9234432. Its totient is φ = 1201200.

The previous prime is 4098131. The next prime is 4098161. The reversal of 4098138 is 8318904.

4098138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4098099 and 4098108.

It is not an unprimeable number, because it can be changed into a prime (4098131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045 + ... + 3047.

It is an arithmetic number, because the mean of its divisors is an integer number (288576).

Almost surely, 24098138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4098138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617216).

4098138 is an abundant number, since it is smaller than the sum of its proper divisors (5136294).

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

4098138 is a wasteful number, since it uses less digits than its factorization.

4098138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 4098138 is about 2024.3858327898. The cubic root of 4098138 is about 160.0278336994.

The spelling of 4098138 in words is "four million, ninety-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2003 2046 4006 6009 12018 22033 44066 62093 66099 124186 132198 186279 372558 683023 1366046 2049069 4098138