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476534016 = 28347367
BaseRepresentation
bin11100011001110…
…101010100000000
31020012200102210000
4130121311110000
51433443042031
6115141440000
714544321000
oct3431652400
91205612700
10476534016
11224a9a072
12113710000
137795a1ba
1447408000
152bc803e6
hex1c675500

476534016 has 360 divisors, whose sum is σ = 1681803200. Its totient is φ = 134120448.

The previous prime is 476533991. The next prime is 476534017. The reversal of 476534016 is 610435674.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476534017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7112415 + ... + 7112481.

Almost surely, 2476534016 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 476534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840901600).

476534016 is an abundant number, since it is smaller than the sum of its proper divisors (1205269184).

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

476534016 is an frugal number, since it uses more digits than its factorization.

476534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 476534016 is about 21829.6590903294. The cubic root of 476534016 is about 781.0844088425.

It can be divided in two parts, 4765 and 34016, that added together give a triangular number (38781 = T278).

The spelling of 476534016 in words is "four hundred seventy-six million, five hundred thirty-four thousand, sixteen".