Search a number
-
+
494361600 = 21035241157
BaseRepresentation
bin11101011101110…
…101110000000000
31021110020011121220
4131131311300000
52003024032400
6121015515040
715152001315
oct3535656000
91243204556
10494361600
11234066207
12119688a80
137b55c875
1449928d0c
152d6027a0
hex1d775c00

494361600 has 264 divisors, whose sum is σ = 1684402608. Its totient is φ = 127795200.

The previous prime is 494361599. The next prime is 494361601. The reversal of 494361600 is 6163494.

It is an interprime number because it is at equal distance from previous prime (494361599) and next prime (494361601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494361601) 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, 3148722 + ... + 3148878.

Almost surely, 2494361600 is an apocalyptic number.

494361600 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 494361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842201304).

494361600 is an abundant number, since it is smaller than the sum of its proper divisors (1190041008).

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

494361600 is a wasteful number, since it uses less digits than its factorization.

494361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 494361600 is about 22234.2438594165. The cubic root of 494361600 is about 790.7057731742.

The spelling of 494361600 in words is "four hundred ninety-four million, three hundred sixty-one thousand, six hundred".