Search a number
-
+
44460150 = 23527223263
BaseRepresentation
bin1010100110011…
…0100001110110
310002122210212020
42221212201312
542340211100
64224534010
71046622300
oct251464166
9102583766
1044460150
1123107629
1212a81306
1392989a7
145c94970
153d835a0
hex2a66876

44460150 has 144 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 9683520.

The previous prime is 44460137. The next prime is 44460181. The reversal of 44460150 is 5106444.

44460150 = T69 + T70 + ... + T643.

44460150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 44460150.

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 71 ways as a sum of consecutive naturals, for example, 168919 + ... + 169181.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 244460150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44460150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

44460150 is an abundant number, since it is smaller than the sum of its proper divisors (89888394).

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

44460150 is a wasteful number, since it uses less digits than its factorization.

44460150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 44460150 is about 6667.8444792901. The cubic root of 44460150 is about 354.2612422551.

Adding to 44460150 its reverse (5106444), we get a palindrome (49566594).

The spelling of 44460150 in words is "forty-four million, four hundred sixty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 49 50 69 70 75 98 105 115 138 147 150 161 175 210 230 245 263 294 322 345 350 483 490 525 526 575 690 735 789 805 966 1050 1127 1150 1225 1315 1470 1578 1610 1725 1841 2254 2415 2450 2630 3381 3450 3675 3682 3945 4025 4830 5523 5635 6049 6575 6762 7350 7890 8050 9205 11046 11270 12075 12098 12887 13150 16905 18147 18410 19725 24150 25774 27615 28175 30245 33810 36294 38661 39450 42343 46025 55230 56350 60490 64435 77322 84525 84686 90735 92050 127029 128870 138075 151225 169050 181470 193305 211715 254058 276150 296401 302450 322175 386610 423430 453675 592802 635145 644350 889203 907350 966525 1058575 1270290 1482005 1778406 1933050 2117150 2964010 3175725 4446015 6351450 7410025 8892030 14820050 22230075 44460150