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505504350 = 2325213217223
BaseRepresentation
bin11110001000010…
…110001001011110
31022020012021121100
4132020112021132
52013402114400
6122054413530
715345500421
oct3610261136
91266167540
10505504350
1123a38699a
121213612a6
1380961600
144b1c99b8
152e5a4100
hex1e21625e

505504350 has 324 divisors, whose sum is σ = 1630147896. Its totient is φ = 112020480.

The previous prime is 505504343. The next prime is 505504369. The reversal of 505504350 is 53405505.

505504350 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 21978439 + ... + 21978461.

Almost surely, 2505504350 is an apocalyptic number.

505504350 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 505504350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815073948).

505504350 is an abundant number, since it is smaller than the sum of its proper divisors (1124643546).

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

505504350 is a wasteful number, since it uses less digits than its factorization.

505504350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 505504350 is about 22483.4238940603. The cubic root of 505504350 is about 796.6024401187.

Adding to 505504350 its reverse (53405505), we get a palindrome (558909855).

The spelling of 505504350 in words is "five hundred five million, five hundred four thousand, three hundred fifty".