Search a number
-
+
684008928 = 2533791677
BaseRepresentation
bin101000110001010…
…010010111100000
31202200002020212000
4220301102113200
52400101241203
6151512404000
722643660061
oct5061222740
91680066760
10684008928
11321118039
121710a6600
13ab930915
1466bb4568
15400b44a3
hex28c525e0

684008928 has 48 divisors (see below), whose sum is σ = 1995028560. Its totient is φ = 228002688.

The previous prime is 684008909. The next prime is 684008933. The reversal of 684008928 is 829800486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394975 + ... + 396702.

It is an arithmetic number, because the mean of its divisors is an integer number (41563095).

Almost surely, 2684008928 is an apocalyptic number.

It is an amenable number.

684008928 is an abundant number, since it is smaller than the sum of its proper divisors (1311019632).

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

684008928 is a wasteful number, since it uses less digits than its factorization.

684008928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791696 (or 791682 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 684008928 is about 26153.5643459931. The cubic root of 684008928 is about 881.0906449749.

The spelling of 684008928 in words is "six hundred eighty-four million, eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 791677 1583354 2375031 3166708 4750062 6333416 7125093 9500124 12666832 14250186 19000248 21375279 25333664 28500372 38000496 42750558 57000744 76000992 85501116 114001488 171002232 228002976 342004464 684008928