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4301056 = 2853317
BaseRepresentation
bin10000011010000100000000
322002111221101
4100122010000
52100113211
6232104144
751362344
oct20320400
98074841
104301056
1124784a1
121535054
13b77906
147dd624
1559e5c1
hex41a100

4301056 has 36 divisors (see below), whose sum is σ = 8774892. Its totient is φ = 2103296.

The previous prime is 4301053. The next prime is 4301057. The reversal of 4301056 is 6501034.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 2822400 = 1216^2 + 1680^2 .

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4301053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13410 + ... + 13726.

It is an arithmetic number, because the mean of its divisors is an integer number (243747).

Almost surely, 24301056 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 4301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387446).

4301056 is an abundant number, since it is smaller than the sum of its proper divisors (4473836).

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

4301056 is an equidigital number, since it uses as much as digits as its factorization.

4301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 4301056 is about 2073.8987439121. The cubic root of 4301056 is about 162.6266436815.

The spelling of 4301056 in words is "four million, three hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 317 424 634 848 1268 1696 2536 3392 5072 6784 10144 13568 16801 20288 33602 40576 67204 81152 134408 268816 537632 1075264 2150528 4301056