Search a number
-
+
505315400 = 23522526577
BaseRepresentation
bin11110000111101…
…000000001001000
31022012211200102012
4132013220001020
52013330043100
6122050355052
715344052512
oct3607500110
91265750365
10505315400
1123a267a37
1212128ba88
13808c65c5
144b17abb2
152e568135
hex1e1e8048

505315400 has 24 divisors (see below), whose sum is σ = 1174858770. Its totient is φ = 202126080.

The previous prime is 505315387. The next prime is 505315427. The reversal of 505315400 is 4513505.

It can be written as a sum of positive squares in 3 ways, for example, as 427910596 + 77404804 = 20686^2 + 8798^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1263089 + ... + 1263488.

Almost surely, 2505315400 is an apocalyptic number.

505315400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505315400 is an abundant number, since it is smaller than the sum of its proper divisors (669543370).

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

505315400 is a wasteful number, since it uses less digits than its factorization.

505315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526593 (or 2526584 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 505315400 is about 22479.2215167697. The cubic root of 505315400 is about 796.5031750390.

Adding to 505315400 its reverse (4513505), we get a palindrome (509828905).

The spelling of 505315400 in words is "five hundred five million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2526577 5053154 10106308 12632885 20212616 25265770 50531540 63164425 101063080 126328850 252657700 505315400