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485454816 = 25337117297
BaseRepresentation
bin11100111011110…
…111001111100000
31020211110122211000
4130323313033200
51443234023231
6120100552000
715013204110
oct3473671740
91224418730
10485454816
1122a032430
121166b2600
1379761792
144868b040
152c9436e6
hex1cef73e0

485454816 has 192 divisors, whose sum is σ = 1765532160. Its totient is φ = 126074880.

The previous prime is 485454811. The next prime is 485454817. The reversal of 485454816 is 618454584.

It is a happy number.

485454816 is a `hidden beast` number, since 48 + 54 + 548 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485454811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62880 + ... + 70176.

It is an arithmetic number, because the mean of its divisors is an integer number (9195480).

Almost surely, 2485454816 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 485454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882766080).

485454816 is an abundant number, since it is smaller than the sum of its proper divisors (1280077344).

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

485454816 is a wasteful number, since it uses less digits than its factorization.

485454816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334 (or 7320 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 485454816 is about 22033.0391911783. The cubic root of 485454816 is about 785.9283193183.

It can be divided in two parts, 48545 and 4816, that added together give a square (53361 = 2312).

The spelling of 485454816 in words is "four hundred eighty-five million, four hundred fifty-four thousand, eight hundred sixteen".