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682866450 = 23552723137
BaseRepresentation
bin101000101100111…
…011011100010010
31202120221012200000
4220230323130102
52344303211300
6151432110430
722631161200
oct5054733422
91676835600
10682866450
11320507742
12170835416
13ab6208b6
1466998070
153ee3ac00
hex28b3b712

682866450 has 432 divisors, whose sum is σ = 2346349824. Its totient is φ = 146966400.

The previous prime is 682866449. The next prime is 682866461. The reversal of 682866450 is 54668286.

682866450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6828664503 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 682866396 and 682866405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18455832 + ... + 18455868.

Almost surely, 2682866450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682866450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173174912).

682866450 is an abundant number, since it is smaller than the sum of its proper divisors (1663483374).

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

682866450 is a wasteful number, since it uses less digits than its factorization.

682866450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 682866450 is about 26131.7134914647. The cubic root of 682866450 is about 880.5998191963.

The spelling of 682866450 in words is "six hundred eighty-two million, eight hundred sixty-six thousand, four hundred fifty".