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4005064 = 237217601
BaseRepresentation
bin1111010001110011001000
321112110220201
433101303020
52011130224
6221501544
746020400
oct17216310
97473821
104005064
112296078
1214118b4
13aa2c7b
14763800
15541a44
hex3d1cc8

4005064 has 48 divisors (see below), whose sum is σ = 9264780. Its totient is φ = 1612800.

The previous prime is 4005049. The next prime is 4005091. The reversal of 4005064 is 4605004.

4005064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3572100 + 432964 = 1890^2 + 658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6364 + ... + 6964.

Almost surely, 24005064 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 4005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632390).

4005064 is an abundant number, since it is smaller than the sum of its proper divisors (5259716).

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

4005064 is a wasteful number, since it uses less digits than its factorization.

4005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4005064 is about 2001.2655995644. The cubic root of 4005064 is about 158.8070652720.

The spelling of 4005064 in words is "four million, five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 601 833 952 1202 1666 2404 3332 4207 4808 6664 8414 10217 16828 20434 29449 33656 40868 58898 71519 81736 117796 143038 235592 286076 500633 572152 1001266 2002532 4005064