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2742812928 = 28382371
BaseRepresentation
bin1010001101111100…
…0000000100000000
321002011002100000000
42203133000010000
521104130003203
61132100000000
7124653345102
oct24337000400
97064070000
102742812928
111188278a49
12646690000
1334932673b
141c03b9572
15110be04a3
hexa37c0100

2742812928 has 324 divisors, whose sum is σ = 8689681728. Its totient is φ = 862202880.

The previous prime is 2742812927. The next prime is 2742812939. The reversal of 2742812928 is 8292182472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742812927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38631133 + ... + 38631203.

Almost surely, 22742812928 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 2742812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344840864).

2742812928 is an abundant number, since it is smaller than the sum of its proper divisors (5946868800).

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

2742812928 is an frugal number, since it uses more digits than its factorization.

2742812928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2742812928 is about 52371.8715342501. The cubic root of 2742812928 is about 1399.7980878878.

The spelling of 2742812928 in words is "two billion, seven hundred forty-two million, eight hundred twelve thousand, nine hundred twenty-eight".