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689826816 = 21032717237
BaseRepresentation
bin101001000111011…
…110110000000000
31210002000211111100
4221013132300000
52403043424231
6152241214400
723044300620
oct5107366000
91702024440
10689826816
11324431108
12173031400
13acbb9a63
146788a880
15408631e6
hex291dec00

689826816 has 396 divisors, whose sum is σ = 2483551408. Its totient is φ = 180486144.

The previous prime is 689826811. The next prime is 689826817. The reversal of 689826816 is 618628986.

It is a happy number.

It is a super-2 number, since 2×6898268162 = 951722072145395712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (689826811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18643950 + ... + 18643986.

Almost surely, 2689826816 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 689826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241775704).

689826816 is an abundant number, since it is smaller than the sum of its proper divisors (1793724592).

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

689826816 is a wasteful number, since it uses less digits than its factorization.

689826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 689826816 is about 26264.5543651515. The cubic root of 689826816 is about 883.5816560977.

The spelling of 689826816 in words is "six hundred eighty-nine million, eight hundred twenty-six thousand, eight hundred sixteen".