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4056064 = 21017233
BaseRepresentation
bin1111011110010000000000
321122001212121
433132100000
52014243224
6222534024
746322155
oct17362000
97561777
104056064
112320421
121437314
13ac024c
1477822c
15551be4
hex3de400

4056064 has 44 divisors (see below), whose sum is σ = 8621964. Its totient is φ = 1900544.

The previous prime is 4056023. The next prime is 4056067. The reversal of 4056064 is 4606504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 2073600 = 1408^2 + 1440^2 .

It is not an unprimeable number, because it can be changed into a prime (4056067) 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, 17292 + ... + 17524.

Almost surely, 24056064 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 4056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310982).

4056064 is an abundant number, since it is smaller than the sum of its proper divisors (4565900).

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

4056064 is a wasteful number, since it uses less digits than its factorization.

4056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4056064 is about 2013.9672291276. The cubic root of 4056064 is about 159.4783007859.

The spelling of 4056064 in words is "four million, fifty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 233 256 272 466 512 544 932 1024 1088 1864 2176 3728 3961 4352 7456 7922 8704 14912 15844 17408 29824 31688 59648 63376 119296 126752 238592 253504 507008 1014016 2028032 4056064