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542063200 = 2552796797
BaseRepresentation
bin100000010011110…
…011101001100000
31101202222122220211
4200103303221200
52102232010300
6125442143504
716301314120
oct4023635140
91352878824
10542063200
11258a87118
12131651b94
13883c1a73
1451dc4c80
15328c64ba
hex204f3a60

542063200 has 72 divisors (see below), whose sum is σ = 1512371952. Its totient is φ = 185848320.

The previous prime is 542063191. The next prime is 542063237. The reversal of 542063200 is 2360245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42799 + ... + 53998.

It is an arithmetic number, because the mean of its divisors is an integer number (21005166).

Almost surely, 2542063200 is an apocalyptic number.

542063200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542063200 is an abundant number, since it is smaller than the sum of its proper divisors (970308752).

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

542063200 is a wasteful number, since it uses less digits than its factorization.

542063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96824 (or 96811 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 542063200 is about 23282.2507503033. The cubic root of 542063200 is about 815.3610755315.

The spelling of 542063200 in words is "five hundred forty-two million, sixty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 96797 193594 387188 483985 677579 774376 967970 1355158 1548752 1935940 2419925 2710316 3097504 3387895 3871880 4839850 5420632 6775790 7743760 9679700 10841264 13551580 15487520 16939475 19359400 21682528 27103160 33878950 38718800 54206320 67757900 77437600 108412640 135515800 271031600 542063200