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682795008 = 2133573
BaseRepresentation
bin101000101100101…
…010000000000000
31202120210120200000
4220230222000000
52344243420013
6151430400000
722630443000
oct5054520000
91676716600
10682795008
11320468aa5
12170800000
13ab5c721c
146697a000
153ee24973
hex28b2a000

682795008 has 336 divisors, whose sum is σ = 2385364800. Its totient is φ = 195084288.

The previous prime is 682794961. The next prime is 682795027. The reversal of 682795008 is 800597286.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97542141 + ... + 97542147.

It is an arithmetic number, because the mean of its divisors is an integer number (7099300).

Almost surely, 2682795008 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 682795008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192682400).

682795008 is an abundant number, since it is smaller than the sum of its proper divisors (1702569792).

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

682795008 is an frugal number, since it uses more digits than its factorization.

682795008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 682795008 is about 26130.3464959805. The cubic root of 682795008 is about 880.5691084542.

The spelling of 682795008 in words is "six hundred eighty-two million, seven hundred ninety-five thousand, eight".