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406380975 = 352711135413
BaseRepresentation
bin11000001110001…
…110000110101111
31001022200021220020
4120032032012233
51313013142400
6104154053223
713033116120
oct3016160657
91038607806
10406380975
11199434050
12b411a213
1366266b20
143bd86047
1525a242a0
hex1838e1af

406380975 has 96 divisors (see below), whose sum is σ = 902275584. Its totient is φ = 155865600.

The previous prime is 406380913. The next prime is 406380991. The reversal of 406380975 is 579083604.

It is a happy number.

406380975 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 406380975 - 29 = 406380463 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72369 + ... + 77781.

It is an arithmetic number, because the mean of its divisors is an integer number (9398704).

Almost surely, 2406380975 is an apocalyptic number.

406380975 is an abundant number, since it is smaller than the sum of its proper divisors (495894609).

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

406380975 is a wasteful number, since it uses less digits than its factorization.

406380975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 406380975 is about 20158.8931987845. The cubic root of 406380975 is about 740.7036009442.

The spelling of 406380975 in words is "four hundred six million, three hundred eighty thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 143 165 175 195 231 273 275 325 385 429 455 525 715 825 975 1001 1155 1365 1925 2145 2275 3003 3575 5005 5413 5775 6825 10725 15015 16239 25025 27065 37891 59543 70369 75075 81195 113673 135325 178629 189455 211107 297715 351845 405975 416801 492583 568365 774059 893145 947275 1055535 1250403 1477749 1488575 1759225 2084005 2322177 2462915 2841825 3870295 4465725 5277675 5418413 6252015 7388745 10420025 11610885 12314575 16255239 19351475 27092065 31260075 36943725 58054425 81276195 135460325 406380975