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4184028 = 2233192039
BaseRepresentation
bin1111111101011111011100
321212120102000
433331133130
52032342103
6225402300
750364222
oct17753734
97776360
104184028
1123a8582
121499390
13b36574
147acb12
15579aa3
hex3fd7dc

4184028 has 48 divisors (see below), whose sum is σ = 11424000. Its totient is φ = 1320624.

The previous prime is 4184027. The next prime is 4184087. The reversal of 4184028 is 8204814.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4183992 and 4184010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4184027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (238000).

Almost surely, 24184028 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 4184028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712000).

4184028 is an abundant number, since it is smaller than the sum of its proper divisors (7239972).

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

4184028 is a wasteful number, since it uses less digits than its factorization.

4184028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4184028 is about 2045.4896724257. The cubic root of 4184028 is about 161.1380835099.

The spelling of 4184028 in words is "four million, one hundred eighty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2039 2052 4078 6117 8156 12234 18351 24468 36702 38741 55053 73404 77482 110106 116223 154964 220212 232446 348669 464892 697338 1046007 1394676 2092014 4184028