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505350500 = 22531759453
BaseRepresentation
bin11110000111110…
…000100101100100
31022012220110120012
4132013300211210
52013332204000
6122051225352
715344260034
oct3607604544
91265813505
10505350500
1123a291346
121212a8258
1380909585
144b1898c4
152e573735
hex1e1f0964

505350500 has 48 divisors (see below), whose sum is σ = 1168627824. Its totient is φ = 190246400.

The previous prime is 505350497. The next prime is 505350509. The reversal of 505350500 is 5053505.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39740416 + 465610084 = 6304^2 + 21578^2 .

It is not an unprimeable number, because it can be changed into a prime (505350509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21227 + ... + 38226.

It is an arithmetic number, because the mean of its divisors is an integer number (24346413).

Almost surely, 2505350500 is an apocalyptic number.

505350500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505350500 is an abundant number, since it is smaller than the sum of its proper divisors (663277324).

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

505350500 is a wasteful number, since it uses less digits than its factorization.

505350500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59489 (or 59477 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 23.

The square root of 505350500 is about 22480.0022241992. The cubic root of 505350500 is about 796.5216167318.

505350500 divided by its reverse (5053505) gives a square (100 = 102).

The spelling of 505350500 in words is "five hundred five million, three hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 8500 59453 118906 237812 297265 594530 1010701 1189060 1486325 2021402 2972650 4042804 5053505 5945300 7431625 10107010 14863250 20214020 25267525 29726500 50535050 101070100 126337625 252675250 505350500