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541125500 = 22532967557
BaseRepresentation
bin100000010000001…
…110101101111100
31101201020000122012
4200100032231330
52102012004000
6125410110352
716260330236
oct4020165574
91351200565
10541125500
112584a6663
1213127b3b8
1388154006
1451c1d256
153278d735
hex2040eb7c

541125500 has 96 divisors (see below), whose sum is σ = 1243045440. Its totient is φ = 205497600.

The previous prime is 541125493. The next prime is 541125517. The reversal of 541125500 is 5521145.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971222 + ... + 971778.

It is an arithmetic number, because the mean of its divisors is an integer number (12948390).

Almost surely, 2541125500 is an apocalyptic number.

541125500 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 541125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

541125500 is an abundant number, since it is smaller than the sum of its proper divisors (701919940).

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

541125500 is a wasteful number, since it uses less digits than its factorization.

541125500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 541125500 is about 23262.1043760018. The cubic root of 541125500 is about 814.8906473780.

Adding to 541125500 its reverse (5521145), we get a palindrome (546646645).

The spelling of 541125500 in words is "five hundred forty-one million, one hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 67 100 116 125 134 145 250 268 290 335 500 557 580 670 725 1114 1340 1450 1675 1943 2228 2785 2900 3350 3625 3886 5570 6700 7250 7772 8375 9715 11140 13925 14500 16153 16750 19430 27850 32306 33500 37319 38860 48575 55700 64612 69625 74638 80765 97150 139250 149276 161530 186595 194300 242875 278500 323060 373190 403825 485750 746380 807650 932975 971500 1082251 1615300 1865950 2019125 2164502 3731900 4038250 4329004 4664875 5411255 8076500 9329750 10822510 18659500 21645020 27056275 54112550 108225100 135281375 270562750 541125500