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4129136 = 241129809
BaseRepresentation
bin1111110000000101110000
321202210002222
433300011300
52024113021
6224300212
750045204
oct17600560
97683088
104129136
112370310
121471668
13b1759b
14796b04
155686ab
hex3f0170

4129136 has 40 divisors (see below), whose sum is σ = 9039600. Its totient is φ = 1809920.

The previous prime is 4129129. The next prime is 4129141. The reversal of 4129136 is 6319214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4700 + ... + 5508.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 24129136 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 4129136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519800).

4129136 is an abundant number, since it is smaller than the sum of its proper divisors (4910464).

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

4129136 is a wasteful number, since it uses less digits than its factorization.

4129136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 851 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 4129136 is about 2032.0275588682. The cubic root of 4129136 is about 160.4303000575.

The spelling of 4129136 in words is "four million, one hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 809 1276 1618 2552 3236 5104 6472 8899 12944 17798 23461 35596 46922 71192 93844 142384 187688 258071 375376 516142 1032284 2064568 4129136