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42594000 = 2435331229
BaseRepresentation
bin1010001001111…
…0111011010000
32222010222222120
42202132323100
541401002000
64120534240
71025020521
oct242367320
988128876
1042594000
1122052559
1212321380
138a94467
14592a848
153b156a0
hex289eed0

42594000 has 160 divisors (see below), whose sum is σ = 142371840. Its totient is φ = 10944000.

The previous prime is 42593987. The next prime is 42594001. The reversal of 42594000 is 49524.

42594000 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42594001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 185886 + ... + 186114.

It is an arithmetic number, because the mean of its divisors is an integer number (889824).

Almost surely, 242594000 is an apocalyptic number.

42594000 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 42594000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71185920).

42594000 is an abundant number, since it is smaller than the sum of its proper divisors (99777840).

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

42594000 is a wasteful number, since it uses less digits than its factorization.

42594000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42594000 is about 6526.4078940869. The cubic root of 42594000 is about 349.2336976045.

The spelling of 42594000 in words is "forty-two million, five hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 229 240 248 250 300 310 372 375 400 458 465 496 500 600 620 687 744 750 775 916 930 1000 1145 1200 1240 1374 1488 1500 1550 1832 1860 2000 2290 2325 2480 2748 3000 3100 3435 3664 3720 3875 4580 4650 5496 5725 6000 6200 6870 7099 7440 7750 9160 9300 10992 11450 11625 12400 13740 14198 15500 17175 18320 18600 21297 22900 23250 27480 28396 28625 31000 34350 35495 37200 42594 45800 46500 54960 56792 57250 62000 68700 70990 85188 85875 91600 93000 106485 113584 114500 137400 141980 170376 171750 177475 186000 212970 229000 274800 283960 340752 343500 354950 425940 458000 532425 567920 687000 709900 851880 887375 1064850 1374000 1419800 1703760 1774750 2129700 2662125 2839600 3549500 4259400 5324250 7099000 8518800 10648500 14198000 21297000 42594000