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405248017 = 19235317497
BaseRepresentation
bin11000001001111…
…001100000010001
31001020112201202211
4120021321200101
51312220414032
6104113512121
713020360046
oct3011714021
91036481684
10405248017
1119882a919
12b3872641
1365c5b235
143bb6d1cd
152589d747
hex18279811

405248017 has 16 divisors (see below), whose sum is σ = 453548160. Its totient is φ = 360277632.

The previous prime is 405248009. The next prime is 405248029. The reversal of 405248017 is 710842504.

It is a cyclic number.

It is not a de Polignac number, because 405248017 - 23 = 405248009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405248017.

It is not an unprimeable number, because it can be changed into a prime (405248047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14413 + ... + 31909.

It is an arithmetic number, because the mean of its divisors is an integer number (28346760).

Almost surely, 2405248017 is an apocalyptic number.

It is an amenable number.

405248017 is a deficient number, since it is larger than the sum of its proper divisors (48300143).

405248017 is a wasteful number, since it uses less digits than its factorization.

405248017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17592.

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 405248017 is about 20130.7728863052. The cubic root of 405248017 is about 740.0146192632.

The spelling of 405248017 in words is "four hundred five million, two hundred forty-eight thousand, seventeen".

Divisors: 1 19 23 53 437 1007 1219 17497 23161 332443 402431 927341 7646189 17619479 21328843 405248017