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3829872 = 243731093
BaseRepresentation
bin1110100111000001110000
321012120121010
432213001300
51440023442
6214030520
744360544
oct16470160
97176533
103829872
112186492
121348440
13a412c7
14719a24
15509b9c
hex3a7070

3829872 has 40 divisors (see below), whose sum is σ = 10038544. Its totient is φ = 1257984.

The previous prime is 3829853. The next prime is 3829873. The reversal of 3829872 is 2789283.

It is a self number, because there is not a number n which added to its sum of digits gives 3829872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2958 + ... + 4050.

Almost surely, 23829872 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 3829872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019272).

3829872 is an abundant number, since it is smaller than the sum of its proper divisors (6208672).

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

3829872 is a wasteful number, since it uses less digits than its factorization.

3829872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 3829872 is about 1957.0058763325. The cubic root of 3829872 is about 156.4569115863.

The spelling of 3829872 in words is "three million, eight hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1093 1168 1752 2186 3279 3504 4372 6558 8744 13116 17488 26232 52464 79789 159578 239367 319156 478734 638312 957468 1276624 1914936 3829872