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4585409056 = 25539532837
BaseRepresentation
bin1000100010100111…
…11100101000100000
3102211120020220201001
410101103330220200
533342331042211
62035001121344
7221426222344
oct42123745040
912746226631
104585409056
111a43386768
12a7b789254
13580cabbc7
14316dbd624
151bc85eac1
hex1114fca20

4585409056 has 48 divisors (see below), whose sum is σ = 9210751704. Its totient is φ = 2246293504.

The previous prime is 4585408969. The next prime is 4585409063. The reversal of 4585409056 is 6509045854.

It can be written as a sum of positive squares in 4 ways, for example, as 3037773456 + 1547635600 = 55116^2 + 39340^2 .

It is a super-2 number, since 2×45854090562 = 42051952421693622272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4585408997 and 4585409015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614870 + ... + 1617706.

Almost surely, 24585409056 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 4585409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605375852).

4585409056 is an abundant number, since it is smaller than the sum of its proper divisors (4625342648).

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

4585409056 is a wasteful number, since it uses less digits than its factorization.

4585409056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 4585409056 is about 67715.6485311926. The cubic root of 4585409056 is about 1661.3432124356.

The spelling of 4585409056 in words is "four billion, five hundred eighty-five million, four hundred nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 953 1696 1906 2837 3812 5674 7624 11348 15248 22696 30496 45392 50509 90784 101018 150361 202036 300722 404072 601444 808144 1202888 1616288 2405776 2703661 4811552 5407322 10814644 21629288 43258576 86517152 143294033 286588066 573176132 1146352264 2292704528 4585409056