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542266200 = 233252743037
BaseRepresentation
bin100000010100100…
…101001101011000
31101210100222101100
4200110211031120
52102310004300
6125450351400
716303121010
oct4024451530
91353328340
10542266200
11259105693
1213172b560
1388463298
1452038c40
1532916700
hex20525358

542266200 has 144 divisors (see below), whose sum is σ = 2081317680. Its totient is φ = 123943680.

The previous prime is 542266183. The next prime is 542266211. The reversal of 542266200 is 2662245.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8919 + ... + 34118.

It is an arithmetic number, because the mean of its divisors is an integer number (14453595).

Almost surely, 2542266200 is an apocalyptic number.

542266200 is a gapful number since it is divisible by the number (50) 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 542266200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040658840).

542266200 is an abundant number, since it is smaller than the sum of its proper divisors (1539051480).

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

542266200 is a wasteful number, since it uses less digits than its factorization.

542266200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43066 (or 43054 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 542266200 is about 23286.6098863703. The cubic root of 542266200 is about 815.4628457314.

The spelling of 542266200 in words is "five hundred forty-two million, two hundred sixty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 43037 86074 129111 172148 215185 258222 301259 344296 387333 430370 516444 602518 645555 774666 860740 903777 1032888 1075925 1205036 1291110 1506295 1549332 1721480 1807554 1936665 2151850 2410072 2582220 2711331 3012590 3098664 3227775 3615108 3873330 4303700 4518885 5164440 5422662 6025180 6455550 7230216 7531475 7746660 8607400 9037770 9683325 10845324 12050360 12911100 13556655 15062950 15493320 18075540 19366650 21690648 22594425 25822200 27113310 30125900 36151080 38733300 45188850 54226620 60251800 67783275 77466600 90377700 108453240 135566550 180755400 271133100 542266200