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54445050 = 232521117647
BaseRepresentation
bin1100111110110…
…0001111111010
310210110002120100
43033230033322
5102414220200
65222540230
71230526632
oct317541772
9123402510
1054445050
1128807410
1216297676
13b38370a
1473336c2
154ba6d00
hex33ec3fa

54445050 has 144 divisors (see below), whose sum is σ = 169221312. Its totient is φ = 12403200.

The previous prime is 54444989. The next prime is 54445057. The reversal of 54445050 is 5054445.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54445057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83827 + ... + 84473.

It is an arithmetic number, because the mean of its divisors is an integer number (1175148).

Almost surely, 254445050 is an apocalyptic number.

54445050 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 54445050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84610656).

54445050 is an abundant number, since it is smaller than the sum of its proper divisors (114776262).

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

54445050 is a wasteful number, since it uses less digits than its factorization.

54445050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 54445050 is about 7378.6889079294. The cubic root of 54445050 is about 379.0118602165.

Adding to 54445050 its reverse (5054445), we get a palindrome (59499495).

The spelling of 54445050 in words is "fifty-four million, four hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 25 30 33 34 45 50 51 55 66 75 85 90 99 102 110 150 153 165 170 187 198 225 255 275 306 330 374 425 450 495 510 550 561 647 765 825 850 935 990 1122 1275 1294 1530 1650 1683 1870 1941 2475 2550 2805 3235 3366 3825 3882 4675 4950 5610 5823 6470 7117 7650 8415 9350 9705 10999 11646 14025 14234 16175 16830 19410 21351 21998 28050 29115 32350 32997 35585 42075 42702 48525 54995 58230 64053 65994 71170 84150 97050 98991 106755 109990 120989 128106 145575 164985 177925 197982 213510 241978 274975 291150 320265 329970 355850 362967 494955 533775 549950 604945 640530 725934 824925 989910 1067550 1088901 1209890 1601325 1649850 1814835 2177802 2474775 3024725 3202650 3629670 4949550 5444505 6049450 9074175 10889010 18148350 27222525 54445050