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689983616 = 2773124841
BaseRepresentation
bin101001001000000…
…101000010000000
31210002022210120202
4221020011002000
52403113433431
6152244424332
723045523020
oct5110050200
91702283522
10689983616
113245289a3
121730a80a8
13acc4323a
14678cba80
15408948cb
hex29205080

689983616 has 64 divisors (see below), whose sum is σ = 1621685760. Its totient is φ = 286156800.

The previous prime is 689983589. The next prime is 689983669. The reversal of 689983616 is 616389986.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15356 + ... + 40196.

It is an arithmetic number, because the mean of its divisors is an integer number (25338840).

Almost surely, 2689983616 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 689983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810842880).

689983616 is an abundant number, since it is smaller than the sum of its proper divisors (931702144).

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

689983616 is a wasteful number, since it uses less digits than its factorization.

689983616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24893 (or 24881 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 56.

The square root of 689983616 is about 26267.5392071659. The cubic root of 689983616 is about 883.6485980723.

The spelling of 689983616 in words is "six hundred eighty-nine million, nine hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1736 1984 3472 3968 6944 13888 24841 27776 49682 99364 173887 198728 347774 397456 695548 770071 794912 1391096 1540142 1589824 2782192 3080284 3179648 5390497 5564384 6160568 10780994 11128768 12321136 21561988 22257536 24642272 43123976 49284544 86247952 98569088 172495904 344991808 689983616