Search a number
-
+
4242187584 = 26327364909
BaseRepresentation
bin1111110011011010…
…1010010101000000
3101221122102110100200
43330312222111000
532142000000314
61540540445200
7210060666555
oct37466522500
911848373320
104242187584
111887671358
129a4849800
13527b5a18b
142c3598a2c
1519c664709
hexfcdaa540

4242187584 has 42 divisors (see below), whose sum is σ = 12159466410. Its totient is φ = 1414062336.

The previous prime is 4242187511. The next prime is 4242187679. The reversal of 4242187584 is 4857812424.

4242187584 is a `hidden beast` number, since 42 + 4 + 21 + 8 + 7 + 584 = 666.

4242187584 is digitally balanced in base 2 and base 4, because in such bases 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., 2989027584 + 1253160000 = 54672^2 + 35400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3681879 + ... + 3683030.

It is an arithmetic number, because the mean of its divisors is an integer number (289511105).

Almost surely, 24242187584 is an apocalyptic number.

It is an amenable number.

4242187584 is an abundant number, since it is smaller than the sum of its proper divisors (7917278826).

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

4242187584 is a wasteful number, since it uses less digits than its factorization.

4242187584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364927 (or 7364914 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 4242187584 is about 65132.0779954087. The cubic root of 4242187584 is about 1618.8127744095.

The spelling of 4242187584 in words is "four billion, two hundred forty-two million, one hundred eighty-seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 7364909 14729818 22094727 29459636 44189454 58919272 66284181 88378908 117838544 132568362 176757816 235677088 265136724 353515632 471354176 530273448 707031264 1060546896 1414062528 2121093792 4242187584