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679485312 = 27321129432
BaseRepresentation
bin101000100000000…
…001111110000000
31202100120102121200
4220200001332000
52342422012222
6151231421200
722560346512
oct5040017600
91670512550
10679485312
11319608410
1216b684800
13aaa0891c
1466357bb2
153e9bdeac
hex28801f80

679485312 has 288 divisors, whose sum is σ = 2259106200. Its totient is φ = 194181120.

The previous prime is 679485271. The next prime is 679485371. The reversal of 679485312 is 213584976.

679485312 is a `hidden beast` number, since 6 + 79 + 48 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15801963 + ... + 15802005.

Almost surely, 2679485312 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 679485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129553100).

679485312 is an abundant number, since it is smaller than the sum of its proper divisors (1579620888).

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

679485312 is a wasteful number, since it uses less digits than its factorization.

679485312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 88 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 679485312 is about 26066.9390608103. The cubic root of 679485312 is about 879.1440161317.

The spelling of 679485312 in words is "six hundred seventy-nine million, four hundred eighty-five thousand, three hundred twelve".