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505505000 = 235471113101
BaseRepresentation
bin11110001000010…
…110010011101000
31022020012022111102
4132020112103220
52013402130000
6122054420532
715345502340
oct3610262350
91266168442
10505505000
1123a387430
12121361748
13809619b0
144b1c9d20
152e5a43d5
hex1e2164e8

505505000 has 320 divisors, whose sum is σ = 1605985920. Its totient is φ = 144000000.

The previous prime is 505504997. The next prime is 505505009. The reversal of 505505000 is 505505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (505505009) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5004950 + ... + 5005050.

It is an arithmetic number, because the mean of its divisors is an integer number (5018706).

Almost surely, 2505505000 is an apocalyptic number.

505505000 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 505505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802992960).

505505000 is an abundant number, since it is smaller than the sum of its proper divisors (1100480920).

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

505505000 is a wasteful number, since it uses less digits than its factorization.

505505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 505505000 is about 22483.4383491494. The cubic root of 505505000 is about 796.6027815542.

505505000 divided by its product of nonzero digits (625) gives a palindrome (808808).

505505000 divided by its reverse (505505) gives a cube (1000 = 103).

It can be divided in two parts, 505 and 505000, that added together give a palindrome (505505).

The spelling of 505505000 in words is "five hundred five million, five hundred five thousand".