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3916064 = 25532309
BaseRepresentation
bin1110111100000100100000
321100221211102
432330010200
52000303224
6215533532
745200045
oct16740440
97327742
103916064
112235219
12138a2a8
13a715c9
1473d1cc
155254ae
hex3bc120

3916064 has 24 divisors (see below), whose sum is σ = 7858620. Its totient is φ = 1920256.

The previous prime is 3916057. The next prime is 3916067. The reversal of 3916064 is 4606193.

It can be written as a sum of positive squares in 2 ways, for example, as 3579664 + 336400 = 1892^2 + 580^2 .

It is not an unprimeable number, because it can be changed into a prime (3916067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 542 + ... + 2850.

Almost surely, 23916064 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 3916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929310).

3916064 is an abundant number, since it is smaller than the sum of its proper divisors (3942556).

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

3916064 is a wasteful number, since it uses less digits than its factorization.

3916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 3916064 is about 1978.9047475813. The cubic root of 3916064 is about 157.6219128317.

The spelling of 3916064 in words is "three million, nine hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 2309 4618 9236 18472 36944 73888 122377 244754 489508 979016 1958032 3916064