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689478912 = 2833234337
BaseRepresentation
bin101001000110001…
…001110100000000
31210001101011021000
4221012021310000
52403001311122
6152225532000
723041321413
oct5106116400
91701334230
10689478912
11324213791
12172aa4000
13acac75b5
14677d9b7a
15407e50ac
hex29189d00

689478912 has 144 divisors (see below), whose sum is σ = 2128049280. Its totient is φ = 219783168.

The previous prime is 689478893. The next prime is 689478917. The reversal of 689478912 is 219874986.

689478912 is a `hidden beast` number, since 6 + 89 + 478 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689478917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156808 + ... + 161144.

It is an arithmetic number, because the mean of its divisors is an integer number (14778120).

Almost surely, 2689478912 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 689478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064024640).

689478912 is an abundant number, since it is smaller than the sum of its proper divisors (1438570368).

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

689478912 is a wasteful number, since it uses less digits than its factorization.

689478912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4365 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 689478912 is about 26257.9304591965. The cubic root of 689478912 is about 883.4330906521.

The spelling of 689478912 in words is "six hundred eighty-nine million, four hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4337 4416 4968 5888 6624 6912 8674 8832 9936 13011 13248 17348 17664 19872 26022 26496 34696 39033 39744 52044 52992 69392 78066 79488 99751 104088 117099 138784 156132 158976 199502 208176 234198 277568 299253 312264 399004 416352 468396 555136 598506 624528 798008 832704 897759 936792 1110272 1197012 1249056 1596016 1665408 1795518 1873584 2394024 2498112 2693277 3192032 3330816 3591036 3747168 4788048 4996224 5386554 6384064 7182072 7494336 9576096 9992448 10773108 12768128 14364144 14988672 19152192 21546216 25536256 28728288 29977344 38304384 43092432 57456576 76608768 86184864 114913152 172369728 229826304 344739456 689478912