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3828357 = 33132839
BaseRepresentation
bin1110100110101010000101
321012111112000
432212222011
51440001412
6214015513
744353251
oct16465205
97174460
103828357
112185335
121347599
13a40700
14719261
155094dc
hex3a6a85

3828357 has 24 divisors (see below), whose sum is σ = 6148800. Its totient is φ = 2353104.

The previous prime is 3828343. The next prime is 3828359. The reversal of 3828357 is 7538283.

3828357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3828357 - 27 = 3828229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828359) 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, 4144 + ... + 4982.

It is an arithmetic number, because the mean of its divisors is an integer number (256200).

Almost surely, 23828357 is an apocalyptic number.

It is an amenable number.

3828357 is a deficient number, since it is larger than the sum of its proper divisors (2320443).

3828357 is a wasteful number, since it uses less digits than its factorization.

3828357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 855 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3828357 is about 1956.6187671593. The cubic root of 3828357 is about 156.4362787399.

The spelling of 3828357 in words is "three million, eight hundred twenty-eight thousand, three hundred fifty-seven".

Divisors: 1 3 9 13 27 39 117 169 351 507 839 1521 2517 4563 7551 10907 22653 32721 98163 141791 294489 425373 1276119 3828357