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483790464 = 27321923312
BaseRepresentation
bin11100110101100…
…000111010000000
31020201100002202100
4130311200322000
51442322243324
6120001150400
714663102553
oct3465407200
91221302670
10483790464
112290a5a33
1211602b400
13792cb061
144837669a
152c7154c9
hex1cd60e80

483790464 has 288 divisors, whose sum is σ = 1580061600. Its totient is φ = 141419520.

The previous prime is 483790459. The next prime is 483790477. The reversal of 483790464 is 464097384.

It is a tau number, because it is divible by the number of its divisors (288).

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, 15606129 + ... + 15606159.

It is an arithmetic number, because the mean of its divisors is an integer number (5486325).

Almost surely, 2483790464 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 483790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790030800).

483790464 is an abundant number, since it is smaller than the sum of its proper divisors (1096271136).

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

483790464 is a wasteful number, since it uses less digits than its factorization.

483790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 483790464 is about 21995.2373026526. The cubic root of 483790464 is about 785.0291219402.

The spelling of 483790464 in words is "four hundred eighty-three million, seven hundred ninety thousand, four hundred sixty-four".