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5678928 = 2432113349
BaseRepresentation
bin10101101010011101010000
3101200112000200
4111222131100
52423211203
6321415200
766161433
oct25523520
911615020
105678928
113229732
121a9a500
13123ab18
14a7b81a
157729a3
hex56a750

5678928 has 60 divisors (see below), whose sum is σ = 16079700. Its totient is φ = 1870848.

The previous prime is 5678923. The next prime is 5678941. The reversal of 5678928 is 8298765.

5678928 is a `hidden beast` number, since 567 + 89 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 3968064 = 1308^2 + 1992^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5678923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16098 + ... + 16446.

It is an arithmetic number, because the mean of its divisors is an integer number (267995).

Almost surely, 25678928 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 5678928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039850).

5678928 is an abundant number, since it is smaller than the sum of its proper divisors (10400772).

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

5678928 is a wasteful number, since it uses less digits than its factorization.

5678928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5678928 is about 2383.0501463461. The cubic root of 5678928 is about 178.4112026855.

The spelling of 5678928 in words is "five million, six hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 349 452 678 698 904 1017 1047 1356 1396 1808 2034 2094 2712 2792 3141 4068 4188 5424 5584 6282 8136 8376 12564 16272 16752 25128 39437 50256 78874 118311 157748 236622 315496 354933 473244 630992 709866 946488 1419732 1892976 2839464 5678928