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689749632 = 273211135379
BaseRepresentation
bin101001000111001…
…011111010000000
31210001212220121200
4221013023322000
52403033442012
6152235421200
723043526605
oct5107137200
91701786550
10689749632
11324389120
12172bb4800
13acb908a0
146786a6ac
154084a3dc
hex291cbe80

689749632 has 384 divisors, whose sum is σ = 2405894400. Its totient is φ = 186900480.

The previous prime is 689749607. The next prime is 689749639. The reversal of 689749632 is 236947986.

It is a happy number.

689749632 is a `hidden beast` number, since 68 + 97 + 496 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (689749639) 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 47 ways as a sum of consecutive naturals, for example, 8730969 + ... + 8731047.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2689749632 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 689749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

689749632 is an abundant number, since it is smaller than the sum of its proper divisors (1716144768).

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

689749632 is a wasteful number, since it uses less digits than its factorization.

689749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 689749632 is about 26263.0849673072. The cubic root of 689749632 is about 883.5487005265.

It can be divided in two parts, 68974 and 9632, that added together give a triangular number (78606 = T396).

The spelling of 689749632 in words is "six hundred eighty-nine million, seven hundred forty-nine thousand, six hundred thirty-two".