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4792943232 = 273372113183
BaseRepresentation
bin1000111011010111…
…01000001010000000
3110101000202202002000
410131223220022000
534303443140412
62111333224000
7226526226300
oct43553501200
913330682060
104792943232
11203a545210
12b19192000
135b4ca35ac
143367a3600
151d0ba64dc
hex11dae8280

4792943232 has 768 divisors, whose sum is σ = 18753638400. Its totient is φ = 1190246400.

The previous prime is 4792943209. The next prime is 4792943273. The reversal of 4792943232 is 2323492974.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (653184) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 57746263 + ... + 57746345.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 24792943232 is an apocalyptic number.

4792943232 is a gapful number since it is divisible by the number (42) 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 4792943232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9376819200).

4792943232 is an abundant number, since it is smaller than the sum of its proper divisors (13960695168).

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

4792943232 is a wasteful number, since it uses less digits than its factorization.

4792943232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 4792943232 is about 69231.0857346611. The cubic root of 4792943232 is about 1686.0382711896.

The spelling of 4792943232 in words is "four billion, seven hundred ninety-two million, nine hundred forty-three thousand, two hundred thirty-two".