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54150072 = 23343137383
BaseRepresentation
bin1100111010010…
…0001110111000
310202220002221020
43032210032320
5102330300242
65212342440
71225160634
oct316441670
9122802836
1054150072
1128625829
1216174a20
13b2ac382
147297dc4
154b496ec
hex33a43b8

54150072 has 64 divisors (see below), whose sum is σ = 139898880. Its totient is φ = 17455872.

The previous prime is 54150071. The next prime is 54150079. The reversal of 54150072 is 27005145.

54150072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54150071) 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 15 ways as a sum of consecutive naturals, for example, 141193 + ... + 141575.

It is an arithmetic number, because the mean of its divisors is an integer number (2185920).

Almost surely, 254150072 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 54150072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69949440).

54150072 is an abundant number, since it is smaller than the sum of its proper divisors (85748808).

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

54150072 is a wasteful number, since it uses less digits than its factorization.

54150072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 54150072 is about 7358.6732499820. The cubic root of 54150072 is about 378.3261371623.

The spelling of 54150072 in words is "fifty-four million, one hundred fifty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 137 172 258 274 344 383 411 516 548 766 822 1032 1096 1149 1532 1644 2298 3064 3288 4596 5891 9192 11782 16469 17673 23564 32938 35346 47128 49407 52471 65876 70692 98814 104942 131752 141384 157413 197628 209884 314826 395256 419768 629652 1259304 2256253 4512506 6768759 9025012 13537518 18050024 27075036 54150072