Search a number
-
+
4084230528 = 27327571887
BaseRepresentation
bin1111001101110000…
…0110100110000000
3101112122012102000100
43303130012212000
531331030334103
61513135122400
7203132246430
oct36334064600
911478172010
104084230528
111806494934
1295b973400
13501203571
142aa5dc2c0
1518d8625a3
hexf3706980

4084230528 has 192 divisors, whose sum is σ = 13470462720. Its totient is φ = 1163566080.

The previous prime is 4084230511. The next prime is 4084230571. The reversal of 4084230528 is 8250324804.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 4084230492 and 4084230501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4604101 + ... + 4604987.

It is an arithmetic number, because the mean of its divisors is an integer number (70158660).

Almost surely, 24084230528 is an apocalyptic number.

4084230528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735231360).

4084230528 is an abundant number, since it is smaller than the sum of its proper divisors (9386232192).

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

4084230528 is a wasteful number, since it uses less digits than its factorization.

4084230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4084230528 is about 63907.9848532247. The cubic root of 4084230528 is about 1598.4660465033.

The spelling of 4084230528 in words is "four billion, eighty-four million, two hundred thirty thousand, five hundred twenty-eight".