Search a number
-
+
503290368 = 293372743
BaseRepresentation
bin11101111111111…
…001101000000000
31022002000210121000
4131333321220000
52012320242433
6121535132000
715320616600
oct3577715000
91262023530
10503290368
11239104559
12120674000
1380367969
144abb0c00
152e2b8113
hex1dff9a00

503290368 has 240 divisors, whose sum is σ = 1735335360. Its totient is φ = 143603712.

The previous prime is 503290351. The next prime is 503290379. The reversal of 503290368 is 863092305.

503290368 is a `hidden beast` number, since 5 + 0 + 3 + 290 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677005 + ... + 677747.

It is an arithmetic number, because the mean of its divisors is an integer number (7230564).

Almost surely, 2503290368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867667680).

503290368 is an abundant number, since it is smaller than the sum of its proper divisors (1232044992).

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

503290368 is an equidigital number, since it uses as much as digits as its factorization.

503290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 503290368 is about 22434.1339926461. The cubic root of 503290368 is about 795.4377653091.

The spelling of 503290368 in words is "five hundred three million, two hundred ninety thousand, three hundred sixty-eight".