Search a number
-
+
44852940 = 2235511839
BaseRepresentation
bin1010101100011…
…0011011001100
310010101202200000
42223012123030
542440243230
64241204300
71053146406
oct253063314
9103352600
1044852940
1123355750
1213030690
1393a5702
145d57b76
153e0eb60
hex2ac66cc

44852940 has 144 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 10860480.

The previous prime is 44852933. The next prime is 44852957. The reversal of 44852940 is 4925844.

44852940 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 44852895 and 44852904.

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, 53041 + ... + 53879.

It is an arithmetic number, because the mean of its divisors is an integer number (1070160).

Almost surely, 244852940 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 44852940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

44852940 is an abundant number, since it is smaller than the sum of its proper divisors (109250100).

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

44852940 is a wasteful number, since it uses less digits than its factorization.

44852940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 44852940 is about 6697.2337573061. The cubic root of 44852940 is about 355.3014433593.

The spelling of 44852940 in words is "forty-four million, eight hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 839 891 972 990 1188 1215 1485 1620 1678 1782 1980 2430 2517 2673 2970 3356 3564 4195 4455 4860 5034 5346 5940 7551 8390 8910 9229 10068 10692 12585 13365 15102 16780 17820 18458 22653 25170 26730 27687 30204 36916 37755 45306 46145 50340 53460 55374 67959 75510 83061 90612 92290 110748 113265 135918 138435 151020 166122 184580 203877 226530 249183 271836 276870 332244 339795 407754 415305 453060 498366 553740 679590 747549 815508 830610 996732 1019385 1245915 1359180 1495098 1661220 2038770 2242647 2491830 2990196 3737745 4077540 4485294 4983660 7475490 8970588 11213235 14950980 22426470 44852940