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494316480 = 26357174327
BaseRepresentation
bin11101011101101…
…010101111000000
31021110010212201210
4131131222233000
52003021111410
6121014530120
715151422630
oct3535525700
91243125653
10494316480
11234035319
12119666940
137b545178
14499166c0
152d5e4220
hex1d76abc0

494316480 has 224 divisors, whose sum is σ = 1899611136. Its totient is φ = 106315776.

The previous prime is 494316479. The next prime is 494316499. The reversal of 494316480 is 84613494.

It is a happy number.

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

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, 112077 + ... + 116403.

Almost surely, 2494316480 is an apocalyptic number.

494316480 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 494316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949805568).

494316480 is an abundant number, since it is smaller than the sum of its proper divisors (1405294656).

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

494316480 is a wasteful number, since it uses less digits than its factorization.

494316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 494316480 is about 22233.2291851634. The cubic root of 494316480 is about 790.6817167413.

The spelling of 494316480 in words is "four hundred ninety-four million, three hundred sixteen thousand, four hundred eighty".