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3852064 = 25177397
BaseRepresentation
bin1110101100011100100000
321020201001001
432230130200
51441231224
6214321344
744512336
oct16543440
97221031
103852064
1121a1127
121359254
13a4b438
14723b56
15511544
hex3ac720

3852064 has 48 divisors (see below), whose sum is σ = 8223768. Its totient is φ = 1769472.

The previous prime is 3852059. The next prime is 3852067. The reversal of 3852064 is 4602583.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 211600 = 1908^2 + 460^2 .

It is not an unprimeable number, because it can be changed into a prime (3852067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39664 + ... + 39760.

Almost surely, 23852064 is an apocalyptic number.

3852064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3852064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111884).

3852064 is an abundant number, since it is smaller than the sum of its proper divisors (4371704).

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

3852064 is a wasteful number, since it uses less digits than its factorization.

3852064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3852064 is about 1962.6675724636. The cubic root of 3852064 is about 156.7585236681.

The spelling of 3852064 in words is "three million, eight hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 73 97 136 146 194 272 292 388 544 584 776 1168 1241 1552 1649 2336 2482 3104 3298 4964 6596 7081 9928 13192 14162 19856 26384 28324 39712 52768 56648 113296 120377 226592 240754 481508 963016 1926032 3852064