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3849768 = 233413457
BaseRepresentation
bin1110101011111000101000
321020120220000
432223320220
51441143033
6214303000
744502546
oct16537050
97216800
103849768
11219a42a
121357a60
13a4a390
14722d96
15510a13
hex3abe28

3849768 has 80 divisors (see below), whose sum is σ = 11637780. Its totient is φ = 1181952.

The previous prime is 3849767. The next prime is 3849787. The reversal of 3849768 is 8679483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3849444 + 324 = 1962^2 + 18^2 .

It is not an unprimeable number, because it can be changed into a prime (3849767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8196 + ... + 8652.

Almost surely, 23849768 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 3849768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818890).

3849768 is an abundant number, since it is smaller than the sum of its proper divisors (7788012).

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

3849768 is a wasteful number, since it uses less digits than its factorization.

3849768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3849768 is about 1962.0825670700. The cubic root of 3849768 is about 156.7273724807.

The spelling of 3849768 in words is "three million, eight hundred forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 457 468 648 702 914 936 1053 1371 1404 1828 2106 2742 2808 3656 4113 4212 5484 5941 8226 8424 10968 11882 12339 16452 17823 23764 24678 32904 35646 37017 47528 49356 53469 71292 74034 98712 106938 142584 148068 160407 213876 296136 320814 427752 481221 641628 962442 1283256 1924884 3849768