Search a number
-
+
505112384 = 26722347149
BaseRepresentation
bin11110000110110…
…110011101000000
31022012110100221002
4132012312131000
52013302044014
6122042151132
715342245600
oct3606663500
91265410832
10505112384
1123a139457
121211b24a8
138085508a
144b126c00
152e527dde
hex1e1b6740

505112384 has 168 divisors, whose sum is σ = 1250899200. Its totient is φ = 201298944.

The previous prime is 505112383. The next prime is 505112417. The reversal of 505112384 is 483211505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505112383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3389942 + ... + 3390090.

Almost surely, 2505112384 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 505112384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625449600).

505112384 is an abundant number, since it is smaller than the sum of its proper divisors (745786816).

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

505112384 is a wasteful number, since it uses less digits than its factorization.

505112384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 505112384 is about 22474.7054263232. The cubic root of 505112384 is about 796.3964927908.

Adding to 505112384 its reverse (483211505), we get a palindrome (988323889).

The spelling of 505112384 in words is "five hundred five million, one hundred twelve thousand, three hundred eighty-four".