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542676200 = 235211972543
BaseRepresentation
bin100000010110001…
…001010011101000
31101211010210210112
4200112021103220
52102411114300
6125503233452
716306446233
oct4026112350
91354123715
10542676200
11259365730
121318a8888
1388577aa1
145210441a
1532997e35
hex205894e8

542676200 has 96 divisors (see below), whose sum is σ = 1391160960. Its totient is φ = 195225600.

The previous prime is 542676187. The next prime is 542676223. The reversal of 542676200 is 2676245.

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 23 ways as a sum of consecutive naturals, for example, 212129 + ... + 214671.

It is an arithmetic number, because the mean of its divisors is an integer number (14491260).

Almost surely, 2542676200 is an apocalyptic number.

542676200 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 542676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695580480).

542676200 is an abundant number, since it is smaller than the sum of its proper divisors (848484760).

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

542676200 is a wasteful number, since it uses less digits than its factorization.

542676200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 542676200 is about 23295.4115653706. The cubic root of 542676200 is about 815.6683140290.

The spelling of 542676200 in words is "five hundred forty-two million, six hundred seventy-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2134 2200 2425 2543 3880 4268 4850 5086 5335 8536 9700 10172 10670 12715 19400 20344 21340 25430 26675 27973 42680 50860 53350 55946 63575 101720 106700 111892 127150 139865 213400 223784 246671 254300 279730 493342 508600 559460 699325 986684 1118920 1233355 1398650 1973368 2466710 2713381 2797300 4933420 5426762 5594600 6166775 9866840 10853524 12333550 13566905 21707048 24667100 27133810 49334200 54267620 67834525 108535240 135669050 271338100 542676200