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406401255 = 325132932371
BaseRepresentation
bin11000001110010…
…011000011100111
31001022201022201100
4120032103003213
51313014320010
6104154331143
713033232211
oct3016230347
91038638640
10406401255
11199448307
12b4129ab3
1366273120
143bd8d5b1
1525a2a2c0
hex183930e7

406401255 has 48 divisors (see below), whose sum is σ = 761525856. Its totient is φ = 199307520.

The previous prime is 406401253. The next prime is 406401257. The reversal of 406401255 is 552104604.

406401255 is a `hidden beast` number, since 4 + 0 + 6 + 401 + 255 = 666.

It is an interprime number because it is at equal distance from previous prime (406401253) and next prime (406401257).

It is not a de Polignac number, because 406401255 - 21 = 406401253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406401253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170220 + ... + 172590.

It is an arithmetic number, because the mean of its divisors is an integer number (15865122).

Almost surely, 2406401255 is an apocalyptic number.

406401255 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406401255 is a deficient number, since it is larger than the sum of its proper divisors (355124601).

406401255 is a wasteful number, since it uses less digits than its factorization.

With its successor (406401256) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2685).

With its successor (406401256) it forms an eRAP, since the sums of their prime factors are consecutive (2688 and 2689).

406401255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 406401255 is about 20159.3961963150. The cubic root of 406401255 is about 740.7159220748.

Adding to 406401255 its reverse (552104604), we get a palindrome (958505859).

The spelling of 406401255 in words is "four hundred six million, four hundred one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 293 585 879 1465 2371 2637 3809 4395 7113 11427 11855 13185 19045 21339 30823 34281 35565 57135 92469 106695 154115 171405 277407 462345 694703 1387035 2084109 3473515 6252327 9031139 10420545 27093417 31261635 45155695 81280251 135467085 406401255