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2754464328 = 2332711231247
BaseRepresentation
bin1010010000101101…
…1100101001001000
321002222000021201100
42210023130221020
521120120324303
61133153421400
7125154363150
oct24413345110
97088007640
102754464328
111193906900
1264a56a860
1334b875b65
141c1b6d760
15111c428a3
hexa42dca48

2754464328 has 432 divisors, whose sum is σ = 9889326720. Its totient is φ = 677635200.

The previous prime is 2754464327. The next prime is 2754464347. The reversal of 2754464328 is 8234644572.

It is a happy number.

2754464328 is a `hidden beast` number, since 27 + 544 + 64 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754464327) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 58605601 + ... + 58605647.

It is an arithmetic number, because the mean of its divisors is an integer number (22891960).

Almost surely, 22754464328 is an apocalyptic number.

2754464328 is a gapful number since it is divisible by the number (28) 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 2754464328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944663360).

2754464328 is an abundant number, since it is smaller than the sum of its proper divisors (7134862392).

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

2754464328 is a wasteful number, since it uses less digits than its factorization.

2754464328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2754464328 is about 52482.9908446537. The cubic root of 2754464328 is about 1401.7773901529. Note that the first 3 decimals are identical.

The spelling of 2754464328 in words is "two billion, seven hundred fifty-four million, four hundred sixty-four thousand, three hundred twenty-eight".