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419011317 = 32197236329
BaseRepresentation
bin11000111110011…
…001101011110101
31002012102222110200
4120332121223311
51324231330232
6105324511113
713245352224
oct3076315365
91065388420
10419011317
111a558044a
12b83ab499
1368a699ba
143d912cbb
1526bbb77c
hex18f99af5

419011317 has 12 divisors (see below), whose sum is σ = 608313420. Its totient is φ = 277921728.

The previous prime is 419011297. The next prime is 419011319. The reversal of 419011317 is 713110914.

It can be written as a sum of positive squares in 2 ways, for example, as 397165041 + 21846276 = 19929^2 + 4674^2 .

It is not a de Polignac number, because 419011317 - 227 = 284793589 is a prime.

It is a super-4 number, since 4×4190113174 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419011319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116392 + ... + 119937.

It is an arithmetic number, because the mean of its divisors is an integer number (50692785).

Almost surely, 2419011317 is an apocalyptic number.

It is an amenable number.

419011317 is a deficient number, since it is larger than the sum of its proper divisors (189302103).

419011317 is a wasteful number, since it uses less digits than its factorization.

419011317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236532 (or 236529 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 419011317 is about 20469.7659244067. The cubic root of 419011317 is about 748.2991483875.

The spelling of 419011317 in words is "four hundred nineteen million, eleven thousand, three hundred seventeen".

Divisors: 1 3 9 197 591 1773 236329 708987 2126961 46556813 139670439 419011317