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405215055 = 345732917
BaseRepresentation
bin11000001001110…
…001011101001111
31001020111001120000
4120021301131033
51312213340210
6104113055343
713020162000
oct3011613517
91036431500
10405215055
11198808083
12b3857553
1365c4922b
143bb611a7
1525893ac0
hex1827174f

405215055 has 80 divisors (see below), whose sum is σ = 847387200. Its totient is φ = 185177664.

The previous prime is 405215053. The next prime is 405215089. The reversal of 405215055 is 550512504.

405215055 is a `hidden beast` number, since 40 + 521 + 50 + 55 = 666.

It is not a de Polignac number, because 405215055 - 21 = 405215053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405215053) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137457 + ... + 140373.

It is an arithmetic number, because the mean of its divisors is an integer number (10592340).

Almost surely, 2405215055 is an apocalyptic number.

405215055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405215055 is an abundant number, since it is smaller than the sum of its proper divisors (442172145).

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

405215055 is an equidigital number, since it uses as much as digits as its factorization.

405215055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 405215055 is about 20129.9541728241. The cubic root of 405215055 is about 739.9945549879.

Adding to 405215055 its reverse (550512504), we get a palindrome (955727559).

The spelling of 405215055 in words is "four hundred five million, two hundred fifteen thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 343 405 441 567 735 945 1029 1323 1715 2205 2835 2917 3087 3969 5145 6615 8751 9261 14585 15435 19845 20419 26253 27783 43755 46305 61257 78759 102095 131265 138915 142933 183771 236277 306285 393795 428799 551313 714665 918855 1000531 1181385 1286397 1653939 2143995 2756565 3001593 3859191 5002655 6431985 8269695 9004779 11577573 15007965 19295955 27014337 45023895 57887865 81043011 135071685 405215055