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494112960 = 26345111733
BaseRepresentation
bin11101011100111…
…001000011000000
31021102202112120000
4131130321003000
52002443103320
6121010320000
715146614365
oct3534710300
91242675500
10494112960
11233a06420
12119589000
137b4a3643
14498a246c
152d5a3c90
hex1d7390c0

494112960 has 280 divisors, whose sum is σ = 1918539216. Its totient is φ = 119715840.

The previous prime is 494112947. The next prime is 494112961. The reversal of 494112960 is 69211494.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (494112961) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 284254 + ... + 285986.

Almost surely, 2494112960 is an apocalyptic number.

494112960 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 494112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959269608).

494112960 is an abundant number, since it is smaller than the sum of its proper divisors (1424426256).

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

494112960 is a wasteful number, since it uses less digits than its factorization.

494112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 494112960 is about 22228.6517809785. The cubic root of 494112960 is about 790.5731886767.

The spelling of 494112960 in words is "four hundred ninety-four million, one hundred twelve thousand, nine hundred sixty".