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3828132 = 22327111381
BaseRepresentation
bin1110100110100110100100
321012111012200
432212212210
51440000012
6214014500
744352510
oct16464644
97174180
103828132
112185150
121347430
13a40589
14719140
155093dc
hex3a69a4

3828132 has 72 divisors (see below), whose sum is σ = 12073152. Its totient is φ = 993600.

The previous prime is 3828119. The next prime is 3828133. The reversal of 3828132 is 2318283.

3828132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3828096 and 3828105.

It is not an unprimeable number, because it can be changed into a prime (3828133) 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 23 ways as a sum of consecutive naturals, for example, 2082 + ... + 3462.

Almost surely, 23828132 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 3828132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036576).

3828132 is an abundant number, since it is smaller than the sum of its proper divisors (8245020).

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

3828132 is a wasteful number, since it uses less digits than its factorization.

3828132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1404 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3828132 is about 1956.5612691659. The cubic root of 3828132 is about 156.4332139916.

The spelling of 3828132 in words is "three million, eight hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1381 1386 2762 2772 4143 5524 8286 9667 12429 15191 16572 19334 24858 29001 30382 38668 45573 49716 58002 60764 87003 91146 106337 116004 136719 174006 182292 212674 273438 319011 348012 425348 546876 638022 957033 1276044 1914066 3828132