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54144354 = 231121741107
BaseRepresentation
bin1100111010001…
…0110101100010
310202212211002110
43032202311202
5102330104404
65212300150
71225135155
oct316426542
9122784073
1054144354
1128621500
1216171656
13b2a98a4
147295c9c
154b47b89
hex33a2d62

54144354 has 96 divisors (see below), whose sum is σ = 130310208. Its totient is φ = 14924800.

The previous prime is 54144317. The next prime is 54144373. The reversal of 54144354 is 45344145.

54144354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541443542 = 5863222140154632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (19200) is a multiple of the sum of its prime factors (192).

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, 505969 + ... + 506075.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398).

Almost surely, 254144354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54144354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65155104).

54144354 is an abundant number, since it is smaller than the sum of its proper divisors (76165854).

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

54144354 is a wasteful number, since it uses less digits than its factorization.

54144354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 54144354 is about 7358.2847186012. The cubic root of 54144354 is about 378.3128201902.

Adding to 54144354 its reverse (45344145), we get a palindrome (99488499).

The spelling of 54144354 in words is "fifty-four million, one hundred forty-four thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 102 107 121 123 187 214 242 246 321 363 374 451 561 642 697 726 902 1122 1177 1353 1394 1819 2057 2091 2354 2706 3531 3638 4114 4182 4387 4961 5457 6171 7062 7667 8774 9922 10914 12342 12947 13161 14883 15334 20009 23001 25894 26322 29766 38841 40018 46002 48257 60027 74579 77682 84337 96514 120054 144771 149158 168674 220099 223737 253011 289542 440198 447474 506022 530827 660297 820369 1061654 1320594 1592481 1640738 2461107 3184962 4922214 9024059 18048118 27072177 54144354