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4129004 = 2211219449
BaseRepresentation
bin1111110000000011101100
321202202221002
433300003230
52024112004
6224255432
750044625
oct17600354
97682832
104129004
112370200
121471578
13b174c9
14796a4c
1556861e
hex3f00ec

4129004 has 36 divisors (see below), whose sum is σ = 8379000. Its totient is φ = 1774080.

The previous prime is 4129003. The next prime is 4129007. The reversal of 4129004 is 4009214.

4129004 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 (4129003) 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 11 ways as a sum of consecutive naturals, for example, 8972 + ... + 9420.

It is an arithmetic number, because the mean of its divisors is an integer number (232750).

Almost surely, 24129004 is an apocalyptic number.

4129004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4129004 is an abundant number, since it is smaller than the sum of its proper divisors (4249996).

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

4129004 is a wasteful number, since it uses less digits than its factorization.

4129004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4129004 is about 2031.9950787342. The cubic root of 4129004 is about 160.4285904969.

Adding to 4129004 its sum of digits (20), we get a square (4129024 = 20322).

The spelling of 4129004 in words is "four million, one hundred twenty-nine thousand, four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 449 484 836 898 1796 2299 4598 4939 8531 9196 9878 17062 19756 34124 54329 93841 108658 187682 217316 375364 1032251 2064502 4129004