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689049504 = 2534112133
BaseRepresentation
bin101001000100100…
…000111110100000
31210000120100020000
4221010200332200
52402344041004
6152212420000
723034552453
oct5104407640
91700510200
10689049504
11323a50100
12172917600
13ac9a7000
146772749a
154075cc39
hex29120fa0

689049504 has 360 divisors, whose sum is σ = 2412984420. Its totient is φ = 192741120.

The previous prime is 689049463. The next prime is 689049509. The reversal of 689049504 is 405940986.

It is a happy number.

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 can be written as a sum of positive squares in 2 ways, for example, as 214681104 + 474368400 = 14652^2 + 21780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 689049504.

It is not an unprimeable number, because it can be changed into a prime (689049509) 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 59 ways as a sum of consecutive naturals, for example, 53003802 + ... + 53003814.

Almost surely, 2689049504 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 689049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206492210).

689049504 is an abundant number, since it is smaller than the sum of its proper divisors (1723934916).

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

689049504 is a wasteful number, since it uses less digits than its factorization.

689049504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 689049504 is about 26249.7524559757. The cubic root of 689049504 is about 883.2496516274.

The spelling of 689049504 in words is "six hundred eighty-nine million, forty-nine thousand, five hundred four".