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4084392 = 2331321953
BaseRepresentation
bin1111100101001010101000
321200111201210
433211022220
52021200032
6223313120
746500564
oct17451250
97614653
104084392
11233a734
12144b7a0
13b00100
147846a4
1555a2cc
hex3e52a8

4084392 has 96 divisors (see below), whose sum is σ = 11858400. Its totient is φ = 1168128.

The previous prime is 4084391. The next prime is 4084397. The reversal of 4084392 is 2934804.

It is a happy number.

4084392 is nontrivially palindromic in base 7.

4084392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4084391) 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 23 ways as a sum of consecutive naturals, for example, 77038 + ... + 77090.

It is an arithmetic number, because the mean of its divisors is an integer number (123525).

Almost surely, 24084392 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 4084392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929200).

4084392 is an abundant number, since it is smaller than the sum of its proper divisors (7774008).

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

4084392 is a wasteful number, since it uses less digits than its factorization.

4084392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4084392 is about 2020.9878772521. The cubic root of 4084392 is about 159.8487111598.

The spelling of 4084392 in words is "four million, eighty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 53 57 76 78 104 106 114 152 156 159 169 212 228 247 312 318 338 424 456 494 507 636 676 689 741 988 1007 1014 1272 1352 1378 1482 1976 2014 2028 2067 2756 2964 3021 3211 4028 4056 4134 5512 5928 6042 6422 8056 8268 8957 9633 12084 12844 13091 16536 17914 19266 24168 25688 26182 26871 35828 38532 39273 52364 53742 71656 77064 78546 104728 107484 157092 170183 214968 314184 340366 510549 680732 1021098 1361464 2042196 4084392