Search a number
-
+
42944850 = 23352132447
BaseRepresentation
bin1010001111010…
…0100101010010
32222210211021000
42203310211102
541443213400
64132242430
71031011434
oct243644522
988724230
1042944850
1122272113
1212470416
138b88070
1459bc654
153b84600
hex28f4952

42944850 has 96 divisors (see below), whose sum is σ = 127491840. Its totient is φ = 10566720.

The previous prime is 42944849. The next prime is 42944857. The reversal of 42944850 is 5844924.

It is not an unprimeable number, because it can be changed into a prime (42944857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16327 + ... + 18773.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 242944850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42944850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63745920).

42944850 is an abundant number, since it is smaller than the sum of its proper divisors (84546990).

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

42944850 is a wasteful number, since it uses less digits than its factorization.

42944850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2470 counting only the distinct ones).

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

The square root of 42944850 is about 6553.2320270230. The cubic root of 42944850 is about 350.1899649038.

The spelling of 42944850 in words is "forty-two million, nine hundred forty-four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2447 2925 3510 4894 5850 7341 8775 12235 14682 17550 22023 24470 31811 36705 44046 61175 63622 66069 73410 95433 110115 122350 132138 159055 183525 190866 220230 286299 318110 330345 367050 477165 550575 572598 660690 795275 858897 954330 1101150 1431495 1590550 1651725 1717794 2385825 2862990 3303450 4294485 4771650 7157475 8588970 14314950 21472425 42944850