Search a number
-
+
498271680 = 26325315581
BaseRepresentation
bin11101101100110…
…000010111000000
31021201120211020200
4131230300113000
52010024143210
6121235405200
715230145054
oct3554602700
91251524220
10498271680
11236296985
1211aa53800
137c2cb51a
144a265c64
152db260c0
hex1db305c0

498271680 has 168 divisors, whose sum is σ = 1769449344. Its totient is φ = 128563200.

The previous prime is 498271663. The next prime is 498271693. The reversal of 498271680 is 86172894.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86490 + ... + 92070.

Almost surely, 2498271680 is an apocalyptic number.

498271680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884724672).

498271680 is an abundant number, since it is smaller than the sum of its proper divisors (1271177664).

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

498271680 is a wasteful number, since it uses less digits than its factorization.

498271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 498271680 is about 22321.9999104023. Note that the first 4 decimals coincide. The cubic root of 498271680 is about 792.7849579139.

The spelling of 498271680 in words is "four hundred ninety-eight million, two hundred seventy-one thousand, six hundred eighty".