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689744000 = 2753113919
BaseRepresentation
bin101001000111001…
…010100010000000
31210001212121220002
4221013022202000
52403033302000
6152235335132
723043504311
oct5107124200
91701777802
10689744000
11324384970
12172bb14a8
13acb8b15a
1467868608
15408488d5
hex291ca880

689744000 has 128 divisors (see below), whose sum is σ = 1871251200. Its totient is φ = 250752000.

The previous prime is 689743981. The next prime is 689744021. The reversal of 689744000 is 447986.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174041 + ... + 177959.

It is an arithmetic number, because the mean of its divisors is an integer number (14619150).

Almost surely, 2689744000 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 689744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935625600).

689744000 is an abundant number, since it is smaller than the sum of its proper divisors (1181507200).

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

689744000 is a wasteful number, since it uses less digits than its factorization.

689744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 689744000 is about 26262.9777443457. The cubic root of 689744000 is about 883.5462957119.

The spelling of 689744000 in words is "six hundred eighty-nine million, seven hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 3919 4000 4400 5500 7040 7838 8000 8800 11000 15676 16000 17600 19595 22000 31352 35200 39190 43109 44000 62704 78380 86218 88000 97975 125408 156760 172436 176000 195950 215545 250816 313520 344872 391900 431090 489875 501632 627040 689744 783800 862180 979750 1077725 1254080 1379488 1567600 1724360 1959500 2155450 2508160 2758976 3135200 3448720 3919000 4310900 5388625 5517952 6270400 6897440 7838000 8621800 10777250 12540800 13794880 15676000 17243600 21554500 27589760 31352000 34487200 43109000 62704000 68974400 86218000 137948800 172436000 344872000 689744000