Search a number
-
+
3088928832 = 2631117227379
BaseRepresentation
bin1011100000011101…
…0101000001000000
321222021100211202120
42320013111001000
522311231210312
61230302244240
7136355314263
oct27007250100
97867324676
103088928832
11134568aa50
12722586680
133a2c4ca52
14214354cda
151312ad28c
hexb81d5040

3088928832 has 224 divisors, whose sum is σ = 9506833920. Its totient is φ = 874782720.

The previous prime is 3088928827. The next prime is 3088928833. The reversal of 3088928832 is 2388298803.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3088928833) 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, 8150019 + ... + 8150397.

Almost surely, 23088928832 is an apocalyptic number.

3088928832 is a gapful number since it is divisible by the number (32) 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 3088928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753416960).

3088928832 is an abundant number, since it is smaller than the sum of its proper divisors (6417905088).

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

3088928832 is a wasteful number, since it uses less digits than its factorization.

3088928832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 3088928832 is about 55578.1326782396. The cubic root of 3088928832 is about 1456.3618731813.

The spelling of 3088928832 in words is "three billion, eighty-eight million, nine hundred twenty-eight thousand, eight hundred thirty-two".