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542850 = 235271147
BaseRepresentation
bin10000100100010000010
31000120122120
42010202002
5114332400
615345110
74420440
oct2044202
91016576
10542850
11340940
12222196
13160119
14101b90
15aaca0
hex84882

542850 has 96 divisors (see below), whose sum is σ = 1714176. Its totient is φ = 110400.

The previous prime is 542837. The next prime is 542873. The reversal of 542850 is 58245.

It is a super-2 number, since 2×5428502 = 589372245000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 542850.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542850.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11527 + ... + 11573.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2542850 is an apocalyptic number.

542850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857088).

542850 is an abundant number, since it is smaller than the sum of its proper divisors (1171326).

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

542850 is a wasteful number, since it uses less digits than its factorization.

542850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 542850 is about 736.7835503050. The cubic root of 542850 is about 81.5755381309.

The spelling of 542850 in words is "five hundred forty-two thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 47 50 55 66 70 75 77 94 105 110 141 150 154 165 175 210 231 235 275 282 329 330 350 385 462 470 517 525 550 658 705 770 825 987 1034 1050 1155 1175 1410 1551 1645 1650 1925 1974 2310 2350 2585 3102 3290 3525 3619 3850 4935 5170 5775 7050 7238 7755 8225 9870 10857 11550 12925 15510 16450 18095 21714 24675 25850 36190 38775 49350 54285 77550 90475 108570 180950 271425 542850