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678489984 = 27323731579
BaseRepresentation
bin101000011100001…
…110111110000000
31202021200212021200
4220130032332000
52342143134414
6151154221200
722546032624
oct5034167600
91667625250
10678489984
11318a98627
1216b284800
13aa74a883
1466179184
153e874109
hex2870ef80

678489984 has 96 divisors (see below), whose sum is σ = 1958899800. Its totient is φ = 225414144.

The previous prime is 678489983. The next prime is 678490027. The reversal of 678489984 is 489984876.

678489984 is a `hidden beast` number, since 6 + 78 + 489 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678489983) 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 11 ways as a sum of consecutive naturals, for example, 428907 + ... + 430485.

Almost surely, 2678489984 is an apocalyptic number.

678489984 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 678489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979449900).

678489984 is an abundant number, since it is smaller than the sum of its proper divisors (1280409816).

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

678489984 is a wasteful number, since it uses less digits than its factorization.

678489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1957 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 678489984 is about 26047.8402943507. The cubic root of 678489984 is about 878.7145419170.

The spelling of 678489984 in words is "six hundred seventy-eight million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 373 384 576 746 1119 1152 1492 1579 2238 2984 3158 3357 4476 4737 5968 6316 6714 8952 9474 11936 12632 13428 14211 17904 18948 23872 25264 26856 28422 35808 37896 47744 50528 53712 56844 71616 75792 101056 107424 113688 143232 151584 202112 214848 227376 303168 429696 454752 588967 606336 909504 1177934 1766901 1819008 2355868 3533802 4711736 5300703 7067604 9423472 10601406 14135208 18846944 21202812 28270416 37693888 42405624 56540832 75387776 84811248 113081664 169622496 226163328 339244992 678489984