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542254300 = 225271940771
BaseRepresentation
bin100000010100100…
…010010011011100
31101210100101001121
4200110202103130
52102304114200
6125450220324
716303041220
oct4024422334
91353311047
10542254300
112590a7755
121317246a4
138845aa43
1452034780
1532912e1a
hex205224dc

542254300 has 72 divisors (see below), whose sum is σ = 1415603840. Its totient is φ = 176126400.

The previous prime is 542254291. The next prime is 542254301. The reversal of 542254300 is 3452245.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542254301) by changing a digit.

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, 7086 + ... + 33685.

Almost surely, 2542254300 is an apocalyptic number.

542254300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542254300 is an abundant number, since it is smaller than the sum of its proper divisors (873349540).

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

542254300 is a wasteful number, since it uses less digits than its factorization.

542254300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40811 (or 40804 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 542254300 is about 23286.3543733234. The cubic root of 542254300 is about 815.4568805930.

The spelling of 542254300 in words is "five hundred forty-two million, two hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 40771 81542 163084 203855 285397 407710 570794 774649 815420 1019275 1141588 1426985 1549298 2038550 2853970 3098596 3873245 4077100 5422543 5707940 7134925 7746490 10845086 14269850 15492980 19366225 21690172 27112715 28539700 38732450 54225430 77464900 108450860 135563575 271127150 542254300