Search a number
-
+
498987216 = 24347134231
BaseRepresentation
bin11101101111011…
…111000011010000
31021202221011210000
4131233133003100
52010220042331
6121303010000
715236215140
oct3557370320
91252834700
10498987216
11236735532
1211b139900
137c4bc110
144a3b0920
152dc180e6
hex1dbdf0d0

498987216 has 200 divisors, whose sum is σ = 1777913984. Its totient is φ = 131569920.

The previous prime is 498987211. The next prime is 498987227. The reversal of 498987216 is 612789894.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498987211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115821 + ... + 120051.

Almost surely, 2498987216 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 498987216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888956992).

498987216 is an abundant number, since it is smaller than the sum of its proper divisors (1278926768).

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

498987216 is a wasteful number, since it uses less digits than its factorization.

498987216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4256 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 498987216 is about 22338.0217566373. The cubic root of 498987216 is about 793.1642656147.

The spelling of 498987216 in words is "four hundred ninety-eight million, nine hundred eighty-seven thousand, two hundred sixteen".