Search a number
-
+
3872532 = 2231741463
BaseRepresentation
bin1110110001011100010100
321021202010010
432301130110
51442410112
6215000220
744626116
oct16613424
97252103
103872532
112205544
121369070
13a57851
1472b3b6
1551763c
hex3b1714

3872532 has 48 divisors (see below), whose sum is σ = 9821952. Its totient is φ = 1182720.

The previous prime is 3872527. The next prime is 3872543. The reversal of 3872532 is 2352783.

3872532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3872532.

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 15 ways as a sum of consecutive naturals, for example, 8133 + ... + 8595.

It is an arithmetic number, because the mean of its divisors is an integer number (204624).

Almost surely, 23872532 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 3872532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910976).

3872532 is an abundant number, since it is smaller than the sum of its proper divisors (5949420).

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

3872532 is a wasteful number, since it uses less digits than its factorization.

3872532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 3872532 is about 1967.8749960300. The cubic root of 3872532 is about 157.0356796132.

The spelling of 3872532 in words is "three million, eight hundred seventy-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 463 492 697 926 1389 1394 1852 2091 2778 2788 4182 5556 7871 8364 15742 18983 23613 31484 37966 47226 56949 75932 94452 113898 227796 322711 645422 968133 1290844 1936266 3872532