Search a number
-
+
2038949856 = 253231253139
BaseRepresentation
bin111100110000111…
…1110011111100000
312021002122101101100
41321201332133200
513133432343411
6534153434400
7101345534136
oct17141763740
95232571340
102038949856
11956a30229
1248aa0ba00
13266563c08
14154b17756
15be008456
hex7987e7e0

2038949856 has 216 divisors, whose sum is σ = 6148298520. Its totient is φ = 640673280.

The previous prime is 2038949833. The next prime is 2038949873. The reversal of 2038949856 is 6589498302.

2038949856 is a `hidden beast` number, since 20 + 3 + 89 + 498 + 56 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14668635 + ... + 14668773.

It is an arithmetic number, because the mean of its divisors is an integer number (28464345).

Almost surely, 22038949856 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 2038949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074149260).

2038949856 is an abundant number, since it is smaller than the sum of its proper divisors (4109348664).

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

2038949856 is a wasteful number, since it uses less digits than its factorization.

2038949856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2038949856 is about 45154.7323765738. The cubic root of 2038949856 is about 1268.0474793727.

The spelling of 2038949856 in words is "two billion, thirty-eight million, nine hundred forty-nine thousand, eight hundred fifty-six".