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4129684 = 2213241149
BaseRepresentation
bin1111110000001110010100
321202210212021
433300032110
52024122214
6224302524
750046616
oct17601624
97683767
104129684
112370769
121471a44
13b17900
14796db6
15568924
hex3f0394

4129684 has 36 divisors (see below), whose sum is σ = 8070300. Its totient is φ = 1847040.

The previous prime is 4129667. The next prime is 4129721. The reversal of 4129684 is 4869214.

4129684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2496400 + 1633284 = 1580^2 + 1278^2 .

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 27642 + ... + 27790.

It is an arithmetic number, because the mean of its divisors is an integer number (224175).

Almost surely, 24129684 is an apocalyptic number.

It is an amenable number.

4129684 is a deficient number, since it is larger than the sum of its proper divisors (3940616).

4129684 is a wasteful number, since it uses less digits than its factorization.

4129684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 4129684 is about 2032.1623950856. The cubic root of 4129684 is about 160.4373969349.

The spelling of 4129684 in words is "four million, one hundred twenty-nine thousand, six hundred eighty-four".

Divisors: 1 2 4 13 26 41 52 82 149 164 169 298 338 533 596 676 1066 1937 2132 3874 6109 6929 7748 12218 13858 24436 25181 27716 50362 79417 100724 158834 317668 1032421 2064842 4129684