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54036150 = 2352753971
BaseRepresentation
bin1100111000100…
…0011010110110
310202200022122220
43032020122312
5102313124100
65210103210
71224204540
oct316103266
9122608586
1054036150
1128558183
121611ab06
13b26c56c
147268690
154b25aa0
hex33886b6

54036150 has 96 divisors (see below), whose sum is σ = 156204288. Its totient is φ = 12105600.

The previous prime is 54036127. The next prime is 54036167. The reversal of 54036150 is 5163045.

54036150 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 54036150.

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 47 ways as a sum of consecutive naturals, for example, 55165 + ... + 56135.

It is an arithmetic number, because the mean of its divisors is an integer number (1627128).

Almost surely, 254036150 is an apocalyptic number.

54036150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54036150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78102144).

54036150 is an abundant number, since it is smaller than the sum of its proper divisors (102168138).

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

54036150 is a wasteful number, since it uses less digits than its factorization.

54036150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 54036150 is about 7350.9285127799. The cubic root of 54036150 is about 378.0606408688.

Adding to 54036150 its reverse (5163045), we get a palindrome (59199195).

The spelling of 54036150 in words is "fifty-four million, thirty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 53 70 75 105 106 150 159 175 210 265 318 350 371 525 530 742 795 971 1050 1113 1325 1590 1855 1942 2226 2650 2913 3710 3975 4855 5565 5826 6797 7950 9275 9710 11130 13594 14565 18550 20391 24275 27825 29130 33985 40782 48550 51463 55650 67970 72825 101955 102926 145650 154389 169925 203910 257315 308778 339850 360241 509775 514630 720482 771945 1019550 1080723 1286575 1543890 1801205 2161446 2573150 3602410 3859725 5403615 7719450 9006025 10807230 18012050 27018075 54036150