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611042432 = 277111319251
BaseRepresentation
bin100100011010111…
…100010010000000
31120120210011122012
4210122330102000
52222411324212
6140344432052
721066526550
oct4432742200
91516704565
10611042432
11293a10250
12150778628
1399793a90
145b21d160
153899e922
hex246bc480

611042432 has 256 divisors, whose sum is σ = 1727308800. Its totient is φ = 207360000.

The previous prime is 611042387. The next prime is 611042437. The reversal of 611042432 is 234240116.

It is a junction number, because it is equal to n+sod(n) for n = 611042398 and 611042407.

It is not an unprimeable number, because it can be changed into a prime (611042437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2434307 + ... + 2434557.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2611042432 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 611042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

611042432 is an abundant number, since it is smaller than the sum of its proper divisors (1116266368).

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

611042432 is a wasteful number, since it uses less digits than its factorization.

611042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 611042432 is about 24719.2724812038. The cubic root of 611042432 is about 848.5754371274.

Adding to 611042432 its reverse (234240116), we get a palindrome (845282548).

It can be divided in two parts, 61104 and 2432, that added together give a palindrome (63536).

The spelling of 611042432 in words is "six hundred eleven million, forty-two thousand, four hundred thirty-two".