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689882624 = 292997479
BaseRepresentation
bin101001000111101…
…100011000000000
31210002010200001022
4221013230120000
52403102220444
6152242325012
723044622414
oct5107543000
91702120038
10689882624
1132446a032
12173059768
13acc09292
14678a2d44
15408749ee
hex291ec600

689882624 has 80 divisors (see below), whose sum is σ = 1443657600. Its totient is φ = 328925184.

The previous prime is 689882603. The next prime is 689882629. The reversal of 689882624 is 426288986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689882629) 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 7 ways as a sum of consecutive naturals, for example, 1440017 + ... + 1440495.

It is an arithmetic number, because the mean of its divisors is an integer number (18045720).

Almost surely, 2689882624 is an apocalyptic number.

689882624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689882624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721828800).

689882624 is an abundant number, since it is smaller than the sum of its proper divisors (753774976).

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

689882624 is an equidigital number, since it uses as much as digits as its factorization.

689882624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 53.

The square root of 689882624 is about 26265.6167641272. The cubic root of 689882624 is about 883.6054831386.

The spelling of 689882624 in words is "six hundred eighty-nine million, eight hundred eighty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 128 194 232 256 388 464 479 512 776 928 958 1552 1856 1916 2813 3104 3712 3832 5626 6208 7424 7664 11252 12416 13891 14848 15328 22504 24832 27782 30656 45008 46463 49664 55564 61312 90016 92926 111128 122624 180032 185852 222256 245248 360064 371704 444512 720128 743408 889024 1347427 1440256 1486816 1778048 2694854 2973632 3556096 5389708 5947264 7112192 10779416 11894528 21558832 23789056 43117664 86235328 172470656 344941312 689882624