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405485775 = 32523753919
BaseRepresentation
bin11000001010110…
…011100011001111
31001020222210220200
4120022303203033
51312301021100
6104122544543
713022400162
oct3012634317
91036883820
10405485775
11198982512
12b3968153
1366012516
143bbd1ad9
15258e8e00
hex182b38cf

405485775 has 72 divisors (see below), whose sum is σ = 760799520. Its totient is φ = 206219520.

The previous prime is 405485771. The next prime is 405485789. The reversal of 405485775 is 577584504.

It is not a de Polignac number, because 405485775 - 22 = 405485771 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 405485775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405485771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440766 + ... + 441684.

It is an arithmetic number, because the mean of its divisors is an integer number (10566660).

Almost surely, 2405485775 is an apocalyptic number.

405485775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405485775 is a deficient number, since it is larger than the sum of its proper divisors (355313745).

405485775 is a wasteful number, since it uses less digits than its factorization.

405485775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 405485775 is about 20136.6773574987. The cubic root of 405485775 is about 740.1593125464.

The spelling of 405485775 in words is "four hundred five million, four hundred eighty-five thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 15 25 37 45 53 75 111 159 185 225 265 333 477 555 795 919 925 1325 1665 1961 2385 2757 2775 3975 4595 5883 8271 8325 9805 11925 13785 17649 22975 29415 34003 41355 48707 49025 68925 88245 102009 146121 147075 170015 206775 243535 306027 438363 441225 510045 730605 850075 1217675 1530135 1802159 2191815 2550225 3653025 5406477 7650675 9010795 10959075 16219431 27032385 45053975 81097155 135161925 405485775