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404925680 = 24547107693
BaseRepresentation
bin11000001000101…
…010110011110000
31001012221100121102
4120020222303300
51312130110210
6104102543532
713014545225
oct3010526360
91035840542
10404925680
1119862a725
12b3737ba8
1365b775c3
143bac794c
1525837ea5
hex1822acf0

404925680 has 40 divisors (see below), whose sum is σ = 961492032. Its totient is φ = 158522624.

The previous prime is 404925679. The next prime is 404925683. The reversal of 404925680 is 86529404.

404925680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404925683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50087 + ... + 57606.

Almost surely, 2404925680 is an apocalyptic number.

404925680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404925680 is an abundant number, since it is smaller than the sum of its proper divisors (556566352).

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

404925680 is a wasteful number, since it uses less digits than its factorization.

404925680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107753 (or 107747 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 404925680 is about 20122.7652175341. The cubic root of 404925680 is about 739.8183630167.

The spelling of 404925680 in words is "four hundred four million, nine hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 107693 215386 430772 538465 861544 1076930 1723088 2153860 4307720 5061571 8615440 10123142 20246284 25307855 40492568 50615710 80985136 101231420 202462840 404925680