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404516080 = 24519266129
BaseRepresentation
bin11000000111000…
…110110011110000
31001012011112202001
4120013012303300
51312024003310
6104050103344
713011221113
oct3007066360
91035145661
10404516080
1119837aa11
12b357ab54
1365a63037
143ba1c57a
15257a693a
hex181c6cf0

404516080 has 40 divisors (see below), whose sum is σ = 990003600. Its totient is φ = 153289728.

The previous prime is 404516069. The next prime is 404516083. The reversal of 404516080 is 80615404.

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 (404516083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131545 + ... + 134584.

It is an arithmetic number, because the mean of its divisors is an integer number (24750090).

Almost surely, 2404516080 is an apocalyptic number.

404516080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404516080 is an abundant number, since it is smaller than the sum of its proper divisors (585487520).

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

404516080 is a wasteful number, since it uses less digits than its factorization.

404516080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266161 (or 266155 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 404516080 is about 20112.5851147981. The cubic root of 404516080 is about 739.5688260030.

The spelling of 404516080 in words is "four hundred four million, five hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 266129 532258 1064516 1330645 2129032 2661290 4258064 5056451 5322580 10112902 10645160 20225804 21290320 25282255 40451608 50564510 80903216 101129020 202258040 404516080