Search a number
-
+
4224890592 = 25321317411619
BaseRepresentation
bin1111101111010010…
…1011011011100000
3101220102212200100100
43323310223123200
532123032444332
61535122022400
7206460656166
oct37364533340
911812780310
104224890592
11187892791a
1299aaa7a00
135243b2180
142c1175236
1519ad9967c
hexfbd2b6e0

4224890592 has 288 divisors, whose sum is σ = 14042639520. Its totient is φ = 1192919040.

The previous prime is 4224890543. The next prime is 4224890599. The reversal of 4224890592 is 2950984224.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×42248905922 = 35699401028740220928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224890599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2608759 + ... + 2610377.

It is an arithmetic number, because the mean of its divisors is an integer number (48759165).

Almost surely, 24224890592 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 4224890592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021319760).

4224890592 is an abundant number, since it is smaller than the sum of its proper divisors (9817748928).

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

4224890592 is a wasteful number, since it uses less digits than its factorization.

4224890592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4224890592 is about 64999.1583945515. The cubic root of 4224890592 is about 1616.6096080947.

The spelling of 4224890592 in words is "four billion, two hundred twenty-four million, eight hundred ninety thousand, five hundred ninety-two".