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494975040 = 26357731009
BaseRepresentation
bin11101100000001…
…011100001000000
31021111101100002220
4131200023201000
52003203200130
6121041011040
715160134630
oct3540134100
91244340086
10494975040
1123444508a
12119923a80
137b715b51
1449a486c0
152d6c4410
hex1d80b840

494975040 has 224 divisors, whose sum is σ = 1822460160. Its totient is φ = 111476736.

The previous prime is 494975017. The next prime is 494975081. The reversal of 494975040 is 40579494.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 494974983 and 494975001.

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, 490056 + ... + 491064.

Almost surely, 2494975040 is an apocalyptic number.

494975040 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 494975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911230080).

494975040 is an abundant number, since it is smaller than the sum of its proper divisors (1327485120).

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

494975040 is a wasteful number, since it uses less digits than its factorization.

494975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 494975040 is about 22248.0345199301. The cubic root of 494975040 is about 791.0326931581.

The spelling of 494975040 in words is "four hundred ninety-four million, nine hundred seventy-five thousand, forty".