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478494016 = 26721121397
BaseRepresentation
bin11100100001010…
…011110101000000
31020100101000101121
4130201103311000
51434443302031
6115251442024
714600063200
oct3441236500
91210330347
10478494016
11226108700
121142b6314
1378195370
1447798400
152c01b011
hex1c853d40

478494016 has 252 divisors, whose sum is σ = 1320943764. Its totient is φ = 170311680.

The previous prime is 478493947. The next prime is 478494031. The reversal of 478494016 is 610494874.

It can be written as a sum of positive squares in 2 ways, for example, as 136983616 + 341510400 = 11704^2 + 18480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4932880 + ... + 4932976.

Almost surely, 2478494016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660471882).

478494016 is an abundant number, since it is smaller than the sum of its proper divisors (842449748).

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

478494016 is a wasteful number, since it uses less digits than its factorization.

478494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 478494016 is about 21874.5060744237. The cubic root of 478494016 is about 782.1538192500.

It can be divided in two parts, 478 and 494016, that added together give a palindrome (494494).

The spelling of 478494016 in words is "four hundred seventy-eight million, four hundred ninety-four thousand, sixteen".