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679538496 = 263713192389
BaseRepresentation
bin101000100000001…
…110111101000000
31202100200010120110
4220200032331000
52342430212441
6151232511320
722560660540
oct5040167500
91670603513
10679538496
1131964436a
1216b6ab540
13aaa26bb0
146636d320
153e9ceb16
hex2880ef40

679538496 has 448 divisors, whose sum is σ = 2457907200. Its totient is φ = 160579584.

The previous prime is 679538491. The next prime is 679538533. The reversal of 679538496 is 694835976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679538491) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7635220 + ... + 7635308.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2679538496 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 679538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228953600).

679538496 is an abundant number, since it is smaller than the sum of its proper divisors (1778368704).

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

679538496 is a wasteful number, since it uses less digits than its factorization.

679538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The square root of 679538496 is about 26067.9591836415. The cubic root of 679538496 is about 879.1669526959.

The spelling of 679538496 in words is "six hundred seventy-nine million, five hundred thirty-eight thousand, four hundred ninety-six".