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4130828 = 22131937113
BaseRepresentation
bin1111110000100000001100
321202212102122
433300200030
52024141303
6224312112
750053142
oct17604014
97685378
104130828
112371609
121472638
13b182a0
14797592
15568e38
hex3f080c

4130828 has 48 divisors (see below), whose sum is σ = 8490720. Its totient is φ = 1741824.

The previous prime is 4130807. The next prime is 4130837. The reversal of 4130828 is 8280314.

4130828 is digitally balanced in base 5, 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 (26).

It is a junction number, because it is equal to n+sod(n) for n = 4130797 and 4130806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36500 + ... + 36612.

It is an arithmetic number, because the mean of its divisors is an integer number (176890).

Almost surely, 24130828 is an apocalyptic number.

It is an amenable number.

4130828 is an abundant number, since it is smaller than the sum of its proper divisors (4359892).

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

4130828 is a wasteful number, since it uses less digits than its factorization.

4130828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4130828 is about 2032.4438491629. The cubic root of 4130828 is about 160.4522102908.

The spelling of 4130828 in words is "four million, one hundred thirty thousand, eight hundred twenty-eight".

Divisors: 1 2 4 13 19 26 37 38 52 74 76 113 148 226 247 452 481 494 703 962 988 1406 1469 1924 2147 2812 2938 4181 4294 5876 8362 8588 9139 16724 18278 27911 36556 54353 55822 79439 108706 111644 158878 217412 317756 1032707 2065414 4130828