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3853248 = 26374761
BaseRepresentation
bin1110101100101111000000
321020202122220
432230233000
51441300443
6214331040
744515650
oct16545700
97222586
103853248
1121a2003
121359a80
13a4bb39
14724360
15511a83
hex3acbc0

3853248 has 112 divisors (see below), whose sum is σ = 12094464. Its totient is φ = 1059840.

The previous prime is 3853247. The next prime is 3853249. The reversal of 3853248 is 8423583.

3853248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3853247) and next prime (3853249).

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (23040) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853247) 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 15 ways as a sum of consecutive naturals, for example, 63138 + ... + 63198.

Almost surely, 23853248 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 3853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047232).

3853248 is an abundant number, since it is smaller than the sum of its proper divisors (8241216).

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

3853248 is a wasteful number, since it uses less digits than its factorization.

3853248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 3853248 is about 1962.9691795848. The cubic root of 3853248 is about 156.7745828578.

The spelling of 3853248 in words is "three million, eight hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 61 64 84 94 96 112 122 141 168 183 188 192 224 244 282 329 336 366 376 427 448 488 564 658 672 732 752 854 976 987 1128 1281 1316 1344 1464 1504 1708 1952 1974 2256 2562 2632 2867 2928 3008 3416 3904 3948 4512 5124 5264 5734 5856 6832 7896 8601 9024 10248 10528 11468 11712 13664 15792 17202 20069 20496 21056 22936 27328 31584 34404 40138 40992 45872 60207 63168 68808 80276 81984 91744 120414 137616 160552 183488 240828 275232 321104 481656 550464 642208 963312 1284416 1926624 3853248