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689206752 = 253313431427
BaseRepresentation
bin101001000101000…
…111010111100000
31210000212022221000
4221011013113200
52402414104002
6152220032000
723036106063
oct5105072740
91700768830
10689206752
11324048263
12172992600
13aca30760
14677688da
154078e61c
hex291475e0

689206752 has 192 divisors, whose sum is σ = 2216712960. Its totient is φ = 206986752.

The previous prime is 689206723. The next prime is 689206757. The reversal of 689206752 is 257602986.

It is a junction number, because it is equal to n+sod(n) for n = 689206698 and 689206707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689206757) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 482263 + ... + 483689.

It is an arithmetic number, because the mean of its divisors is an integer number (11545380).

Almost surely, 2689206752 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 689206752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108356480).

689206752 is an abundant number, since it is smaller than the sum of its proper divisors (1527506208).

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

689206752 is a wasteful number, since it uses less digits than its factorization.

689206752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1488 counting only the distinct ones).

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

The square root of 689206752 is about 26252.7475133556. The cubic root of 689206752 is about 883.3168353234.

The spelling of 689206752 in words is "six hundred eighty-nine million, two hundred six thousand, seven hundred fifty-two".