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3849888 = 253717337
BaseRepresentation
bin1110101011111010100000
321020121001110
432223322200
51441144023
6214303320
744503110
oct16537240
97217043
103849888
11219a529
121357b40
13a4a453
14723040
15510a93
hex3abea0

3849888 has 96 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 1032192.

The previous prime is 3849863. The next prime is 3849889. The reversal of 3849888 is 8889483.

It is a happy number.

3849888 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38498882 = 29643275225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

3849888 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3849889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11256 + ... + 11592.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 23849888 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 3849888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

3849888 is an abundant number, since it is smaller than the sum of its proper divisors (8415456).

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

3849888 is a wasteful number, since it uses less digits than its factorization.

3849888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 3849888 is about 1962.1131465846. The cubic root of 3849888 is about 156.7290008982.

The spelling of 3849888 in words is "three million, eight hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 337 357 408 476 544 672 674 714 816 952 1011 1348 1428 1632 1904 2022 2359 2696 2856 3808 4044 4718 5392 5712 5729 7077 8088 9436 10784 11424 11458 14154 16176 17187 18872 22916 28308 32352 34374 37744 40103 45832 56616 68748 75488 80206 91664 113232 120309 137496 160412 183328 226464 240618 274992 320824 481236 549984 641648 962472 1283296 1924944 3849888