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4076064 = 253214153
BaseRepresentation
bin1111100011001000100000
321200002022100
433203020200
52020413224
6223210400
746434366
oct17431040
97602270
104076064
112334453
121446a00
13ac9395
14781636
15557ac9
hex3e3220

4076064 has 36 divisors (see below), whose sum is σ = 11592126. Its totient is φ = 1358592.

The previous prime is 4076063. The next prime is 4076069. The reversal of 4076064 is 4606704.

It can be written as a sum of positive squares in only one way, i.e., 3640464 + 435600 = 1908^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40760642 = 33228595464192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4076063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6789 + ... + 7364.

Almost surely, 24076064 is an apocalyptic number.

It is an amenable number.

4076064 is an abundant number, since it is smaller than the sum of its proper divisors (7516062).

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

4076064 is a wasteful number, since it uses less digits than its factorization.

4076064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14169 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4076064 is about 2018.9264473972. The cubic root of 4076064 is about 159.7399943773.

The spelling of 4076064 in words is "four million, seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14153 28306 42459 56612 84918 113224 127377 169836 226448 254754 339672 452896 509508 679344 1019016 1358688 2038032 4076064