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4219096 = 237247229
BaseRepresentation
bin10000000110000011011000
321221100111211
4100012003120
52040002341
6230232504
750601400
oct20060330
97840454
104219096
112421962
1214b5734
13b4950b
147bb800
15585181
hex4060d8

4219096 has 48 divisors (see below), whose sum is σ = 9439200. Its totient is φ = 1761984.

The previous prime is 4219093. The next prime is 4219099. The reversal of 4219096 is 6909124.

4219096 = T400 + T401 + ... + T446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4219093) and next prime (4219099).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4219093) 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 11 ways as a sum of consecutive naturals, for example, 18310 + ... + 18538.

It is an arithmetic number, because the mean of its divisors is an integer number (196650).

Almost surely, 24219096 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 4219096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719600).

4219096 is an abundant number, since it is smaller than the sum of its proper divisors (5220104).

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

4219096 is a wasteful number, since it uses less digits than its factorization.

4219096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 4219096 is about 2054.0438164752. The cubic root of 4219096 is about 161.5870190207.

The spelling of 4219096 in words is "four million, two hundred nineteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 229 329 376 392 458 658 916 1316 1603 1832 2303 2632 3206 4606 6412 9212 10763 11221 12824 18424 21526 22442 43052 44884 75341 86104 89768 150682 301364 527387 602728 1054774 2109548 4219096