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43285000 = 235411787
BaseRepresentation
bin1010010100011…
…1101000001000
310000110002212011
42211013220020
542040110000
64143425304
71033626223
oct245075010
9100402764
1043285000
1122484730
12125b5234
138c76b35
145a6a5ba
153c002ba
hex2947a08

43285000 has 80 divisors (see below), whose sum is σ = 110777040. Its totient is φ = 15720000.

The previous prime is 43284977. The next prime is 43285001. The reversal of 43285000 is 58234.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (43285001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54607 + ... + 55393.

It is an arithmetic number, because the mean of its divisors is an integer number (1384713).

Almost surely, 243285000 is an apocalyptic number.

43285000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55388520).

43285000 is an abundant number, since it is smaller than the sum of its proper divisors (67492040).

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

43285000 is a wasteful number, since it uses less digits than its factorization.

43285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 43285000 is about 6579.1336815724. The cubic root of 43285000 is about 351.1121088413.

The spelling of 43285000 in words is "forty-three million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 787 1000 1100 1250 1375 1574 2200 2500 2750 3148 3935 5000 5500 6296 6875 7870 8657 11000 13750 15740 17314 19675 27500 31480 34628 39350 43285 55000 69256 78700 86570 98375 157400 173140 196750 216425 346280 393500 432850 491875 787000 865700 983750 1082125 1731400 1967500 2164250 3935000 4328500 5410625 8657000 10821250 21642500 43285000