Search a number
-
+
4111425792 = 283217372837
BaseRepresentation
bin1111010100001111…
…0110000100000000
3101121112101001220100
43311003312010000
531410011111132
61515550042400
7203612354055
oct36503660400
911545331810
104111425792
11181a87a061
12968aa9400
13506a35a36
142b007b02c
15190e3537c
hexf50f6100

4111425792 has 216 divisors, whose sum is σ = 12895338456. Its totient is φ = 1254555648.

The previous prime is 4111425781. The next prime is 4111425793. The reversal of 4111425792 is 2975241114.

4111425792 is a `hidden beast` number, since 41 + 1 + 1 + 42 + 579 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 837755136 + 3273670656 = 28944^2 + 57216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111425793) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1447798 + ... + 1450634.

It is an arithmetic number, because the mean of its divisors is an integer number (59700641).

Almost surely, 24111425792 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 4111425792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447669228).

4111425792 is an abundant number, since it is smaller than the sum of its proper divisors (8783912664).

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

4111425792 is a wasteful number, since it uses less digits than its factorization.

4111425792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2896 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4111425792 is about 64120.4007473441. The cubic root of 4111425792 is about 1602.0060504665.

The spelling of 4111425792 in words is "four billion, one hundred eleven million, four hundred twenty-five thousand, seven hundred ninety-two".