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682472448 = 21032771149
BaseRepresentation
bin101000101011011…
…011010000000000
31202120012012012100
4220223123100000
52344203104243
6151415430400
722624630410
oct5053332000
91676165170
10682472448
11320268719
12170685400
13ab513468
14668d4640
153edae0d3
hex28adb400

682472448 has 264 divisors, whose sum is σ = 2299190400. Its totient is φ = 190955520.

The previous prime is 682472431. The next prime is 682472489. The reversal of 682472448 is 844274286.

It is a super-2 number, since 2×6824724482 = 931537284558225408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4580278 + ... + 4580426.

Almost surely, 2682472448 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 682472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149595200).

682472448 is an abundant number, since it is smaller than the sum of its proper divisors (1616717952).

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

682472448 is a wasteful number, since it uses less digits than its factorization.

682472448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 682472448 is about 26124.1736328635. The cubic root of 682472448 is about 880.4304230472.

The spelling of 682472448 in words is "six hundred eighty-two million, four hundred seventy-two thousand, four hundred forty-eight".