Search a number
-
+
494881920 = 27335132203
BaseRepresentation
bin11101011111110…
…100110010000000
31021111012121101000
4131133310302000
52003142210140
6121035012000
715156266301
oct3537646200
91244177330
10494881920
11234391125
1211989a000
137b6b2650
1449a227a8
152d6a6a30
hex1d7f4c80

494881920 has 256 divisors, whose sum is σ = 1888387200. Its totient is φ = 121761792.

The previous prime is 494881913. The next prime is 494881943. The reversal of 494881920 is 29188494.

It is a super-2 number, since 2×4948819202 = 489816229485772800, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223539 + ... + 225741.

Almost surely, 2494881920 is an apocalyptic number.

494881920 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 494881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944193600).

494881920 is an abundant number, since it is smaller than the sum of its proper divisors (1393505280).

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

494881920 is a wasteful number, since it uses less digits than its factorization.

494881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 494881920 is about 22245.9416523554. The cubic root of 494881920 is about 790.9830842026.

It can be divided in two parts, 4948 and 81920, that added together give a palindrome (86868).

The spelling of 494881920 in words is "four hundred ninety-four million, eight hundred eighty-one thousand, nine hundred twenty".