Search a number
-
+
494348400 = 243352713503
BaseRepresentation
bin11101011101110…
…010100001110000
31021110012111112000
4131131302201300
52003023122100
6121015334000
715151614660
oct3535624160
91243174460
10494348400
112340572a7
12119681300
137b556860
14499241a0
152d5ed900
hex1d772870

494348400 has 480 divisors, whose sum is σ = 2169861120. Its totient is φ = 104094720.

The previous prime is 494348381. The next prime is 494348419. The reversal of 494348400 is 4843494.

It is an interprime number because it is at equal distance from previous prime (494348381) and next prime (494348419).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982549 + ... + 983051.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2494348400 is an apocalyptic number.

494348400 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 494348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084930560).

494348400 is an abundant number, since it is smaller than the sum of its proper divisors (1675512720).

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

494348400 is a wasteful number, since it uses less digits than its factorization.

494348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 494348400 is about 22233.9470180173. The cubic root of 494348400 is about 790.6987355395.

The spelling of 494348400 in words is "four hundred ninety-four million, three hundred forty-eight thousand, four hundred".