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54034064 = 2472413
BaseRepresentation
bin1100111000011…
…1111010010000
310202200012210122
43032013322100
5102313042224
65210045412
71224165500
oct316077220
9122605718
1054034064
1128556657
1216119868
13b26b626
147267a00
154b2515e
hex3387e90

54034064 has 60 divisors (see below), whose sum is σ = 124827948. Its totient is φ = 22592640.

The previous prime is 54034051. The next prime is 54034121. The reversal of 54034064 is 46043045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54034064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10368400 + 43665664 = 3220^2 + 6608^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1317884 + ... + 1317924.

Almost surely, 254034064 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 54034064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62413974).

54034064 is an abundant number, since it is smaller than the sum of its proper divisors (70793884).

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

54034064 is an frugal number, since it uses more digits than its factorization.

54034064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 54034064 is about 7350.7866245729. The cubic root of 54034064 is about 378.0557759488.

The spelling of 54034064 in words is "fifty-four million, thirty-four thousand, sixty-four", and thus it is an eban number.