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3839248 = 24725983
BaseRepresentation
bin1110101001010100010000
321020001110101
432221110100
51440323443
6214142144
744430100
oct16512420
97201411
103839248
112192536
121351954
13a4565a
1471d200
1550c84d
hex3a9510

3839248 has 60 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1598016.

The previous prime is 3839239. The next prime is 3839261. The reversal of 3839248 is 8429383.

It is a super-3 number, since 3×38392483 (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46215 + ... + 46297.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 23839248 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 3839248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3839248 is an abundant number, since it is smaller than the sum of its proper divisors (5066432).

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

3839248 is a wasteful number, since it uses less digits than its factorization.

3839248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 3839248 is about 1959.3999081351. The cubic root of 3839248 is about 156.5844828250.

The spelling of 3839248 in words is "three million, eight hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 83 98 112 118 166 196 236 332 392 413 472 581 664 784 826 944 1162 1328 1652 2324 2891 3304 4067 4648 4897 5782 6608 8134 9296 9794 11564 16268 19588 23128 32536 34279 39176 46256 65072 68558 78352 137116 239953 274232 479906 548464 959812 1919624 3839248