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677878956 = 22342837393
BaseRepresentation
bin101000011001111…
…001110010101100
31202020112211010000
4220121321302230
52342014111311
6151133144300
722540606326
oct5031716254
91666484100
10677878956
11318710547
1216b02b090
13aa595711
146605a616
153e7a3056
hex28679cac

677878956 has 60 divisors (see below), whose sum is σ = 1778611912. Its totient is φ = 225130752.

The previous prime is 677878939. The next prime is 677879009. The reversal of 677878956 is 659878776.

677878956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 677878893 and 677878902.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87996 + ... + 95388.

Almost surely, 2677878956 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 677878956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889305956).

677878956 is an abundant number, since it is smaller than the sum of its proper divisors (1100732956).

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

677878956 is a wasteful number, since it uses less digits than its factorization.

677878956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692 (or 7681 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The square root of 677878956 is about 26036.1086954253. The cubic root of 677878956 is about 878.4506812557.

The spelling of 677878956 in words is "six hundred seventy-seven million, eight hundred seventy-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 283 324 566 849 1132 1698 2547 3396 5094 7393 7641 10188 14786 15282 22179 22923 29572 30564 44358 45846 66537 88716 91692 133074 199611 266148 399222 598833 798444 1197666 2092219 2395332 4184438 6276657 8368876 12553314 18829971 25106628 37659942 56489913 75319884 112979826 169469739 225959652 338939478 677878956