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683266752 = 2634719991
BaseRepresentation
bin101000101110011…
…101001011000000
31202121200112210000
4220232131023000
52344404014002
6151444440000
722634446230
oct5056351300
91677615700
10683266752
11320760473
121709a9000
13ab730b6c
1466a5dcc0
153eeb961c
hex28b9d2c0

683266752 has 280 divisors, whose sum is σ = 2439050240. Its totient is φ = 184757760.

The previous prime is 683266729. The next prime is 683266769. The reversal of 683266752 is 257662386.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 683266698 and 683266707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 688977 + ... + 689967.

Almost surely, 2683266752 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 683266752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219525120).

683266752 is an abundant number, since it is smaller than the sum of its proper divisors (1755783488).

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

683266752 is a wasteful number, since it uses less digits than its factorization.

683266752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1022 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 683266752 is about 26139.3716833439. The cubic root of 683266752 is about 880.7718572332.

It can be divided in two parts, 68326 and 6752, that added together give a triangular number (75078 = T387).

The spelling of 683266752 in words is "six hundred eighty-three million, two hundred sixty-six thousand, seven hundred fifty-two".