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4059894592 = 2613474
BaseRepresentation
bin1111000111111101…
…0001001101000000
3101110221102000101101
43301333101031000
531303313111332
61510505344144
7202415351245
oct36177211500
911427360341
104059894592
1117a3782996
12953798054
134c91626c0
142a72a55cc
1518b656ae7
hexf1fd1340

4059894592 has 70 divisors (see below), whose sum is σ = 8864683058. Its totient is φ = 1833929472.

The previous prime is 4059894533. The next prime is 4059894637. The reversal of 4059894592 is 2954989504.

4059894592 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 only one way, i.e., 2810696256 + 1249198336 = 53016^2 + 35344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 86380713 + ... + 86380759.

Almost surely, 24059894592 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 4059894592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432341529).

4059894592 is an abundant number, since it is smaller than the sum of its proper divisors (4804788466).

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

4059894592 is an frugal number, since it uses more digits than its factorization.

4059894592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The square root of 4059894592 is about 63717.3021399996. The cubic root of 4059894592 is about 1595.2848935061.

The spelling of 4059894592 in words is "four billion, fifty-nine million, eight hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1222 1504 2209 2444 3008 4418 4888 8836 9776 17672 19552 28717 35344 39104 57434 70688 103823 114868 141376 207646 229736 415292 459472 830584 918944 1349699 1661168 1837888 2699398 3322336 4879681 5398796 6644672 9759362 10797592 19518724 21595184 39037448 43190368 63435853 78074896 86380736 126871706 156149792 253743412 312299584 507486824 1014973648 2029947296 4059894592