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678049764 = 2237101229349
BaseRepresentation
bin101000011010100…
…011011111100100
31202020212111102020
4220122203133210
52342040043024
6151140543140
722542220320
oct5032433744
91666774366
10678049764
11318817907
1216b0b1ab0
13aa6253a2
14660a2980
153e7d8979
hex286a37e4

678049764 has 96 divisors (see below), whose sum is σ = 1839264000. Its totient is φ = 190425600.

The previous prime is 678049727. The next prime is 678049807. The reversal of 678049764 is 467940876.

678049764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942662 + ... + 1943010.

It is an arithmetic number, because the mean of its divisors is an integer number (19159000).

Almost surely, 2678049764 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 678049764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919632000).

678049764 is an abundant number, since it is smaller than the sum of its proper divisors (1161214236).

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

678049764 is a wasteful number, since it uses less digits than its factorization.

678049764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 678049764 is about 26039.3887025022. The cubic root of 678049764 is about 878.5244573587.

The spelling of 678049764 in words is "six hundred seventy-eight million, forty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 229 303 349 404 458 606 687 698 707 916 1047 1212 1374 1396 1414 1603 2094 2121 2443 2748 2828 3206 4188 4242 4809 4886 6412 7329 8484 9618 9772 14658 19236 23129 29316 35249 46258 69387 70498 79921 92516 105747 138774 140996 159842 161903 211494 239763 246743 277548 319684 323806 422988 479526 485709 493486 559447 647612 740229 959052 971418 986972 1118894 1480458 1678341 1942836 2237788 2960916 3356682 6713364 8072021 16144042 24216063 32288084 48432126 56504147 96864252 113008294 169512441 226016588 339024882 678049764