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54057500 = 225473089
BaseRepresentation
bin1100111000110…
…1101000011100
310202201101221122
43032031220130
5102314320000
65210350112
71224324020
oct316155034
9122641848
1054057500
1128572222
121612b338
13b2791b3
147272380
154b2c085
hex338da1c

54057500 has 60 divisors (see below), whose sum is σ = 135144240. Its totient is φ = 18528000.

The previous prime is 54057499. The next prime is 54057503. The reversal of 54057500 is 575045.

54057500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54057500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54057503) 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 19 ways as a sum of consecutive naturals, for example, 15956 + ... + 19044.

It is an arithmetic number, because the mean of its divisors is an integer number (2252404).

Almost surely, 254057500 is an apocalyptic number.

54057500 is a gapful number since it is divisible by the number (50) 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 54057500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67572120).

54057500 is an abundant number, since it is smaller than the sum of its proper divisors (81086740).

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

54057500 is a wasteful number, since it uses less digits than its factorization.

54057500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 54057500 is about 7352.3805668640. The cubic root of 54057500 is about 378.1104256387.

The spelling of 54057500 in words is "fifty-four million, fifty-seven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 875 1250 1750 2500 3089 3500 4375 6178 8750 12356 15445 17500 21623 30890 43246 61780 77225 86492 108115 154450 216230 308900 386125 432460 540575 772250 1081150 1544500 1930625 2162300 2702875 3861250 5405750 7722500 10811500 13514375 27028750 54057500