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540502050 = 2352113110567
BaseRepresentation
bin100000001101110…
…110100000100010
31101200001100102110
4200031312200202
52101332031200
6125344500150
716252122504
oct4015664042
91350040373
10540502050
11258110210
1213101a656
1387c962ca
1451ad9d74
15326b8b50
hex20376822

540502050 has 96 divisors (see below), whose sum is σ = 1509617664. Its totient is φ = 126792000.

The previous prime is 540502043. The next prime is 540502069. The reversal of 540502050 is 50205045.

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 47 ways as a sum of consecutive naturals, for example, 45867 + ... + 56433.

It is an arithmetic number, because the mean of its divisors is an integer number (15725184).

Almost surely, 2540502050 is an apocalyptic number.

540502050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540502050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754808832).

540502050 is an abundant number, since it is smaller than the sum of its proper divisors (969115614).

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

540502050 is a wasteful number, since it uses less digits than its factorization.

540502050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 540502050 is about 23248.6999636539. The cubic root of 540502050 is about 814.5775722468.

Adding to 540502050 its reverse (50205045), we get a palindrome (590707095).

The spelling of 540502050 in words is "five hundred forty million, five hundred two thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 150 155 165 186 275 310 330 341 465 550 682 775 825 930 1023 1550 1650 1705 2046 2325 3410 4650 5115 8525 10230 10567 17050 21134 25575 31701 51150 52835 63402 105670 116237 158505 232474 264175 317010 327577 348711 528350 581185 655154 697422 792525 982731 1162370 1585050 1637885 1743555 1965462 2905925 3275770 3487110 3603347 4913655 5811850 7206694 8189425 8717775 9827310 10810041 16378850 17435550 18016735 21620082 24568275 36033470 49136550 54050205 90083675 108100410 180167350 270251025 540502050