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428182313 = 1353816121
BaseRepresentation
bin11001100001011…
…000101100101001
31002211200220201012
4121201120230221
51334103313223
6110253233305
713416326636
oct3141305451
91084626635
10428182313
111aa774789
12bb492835
136a92b120
1440c1d18d
15278cdc78
hex19858b29

428182313 has 8 divisors (see below), whose sum is σ = 461280456. Its totient is φ = 395107200.

The previous prime is 428182297. The next prime is 428182333. The reversal of 428182313 is 313281824.

It can be written as a sum of positive squares in 4 ways, for example, as 5345344 + 422836969 = 2312^2 + 20563^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428182313 - 24 = 428182297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 428182313.

It is not an unprimeable number, because it can be changed into a prime (428182333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66893 + ... + 73013.

It is an arithmetic number, because the mean of its divisors is an integer number (57660057).

Almost surely, 2428182313 is an apocalyptic number.

It is an amenable number.

428182313 is a deficient number, since it is larger than the sum of its proper divisors (33098143).

428182313 is a wasteful number, since it uses less digits than its factorization.

428182313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515.

The product of its digits is 9216, while the sum is 32.

The square root of 428182313 is about 20692.5666121919. The cubic root of 428182313 is about 753.7191932786.

The spelling of 428182313 in words is "four hundred twenty-eight million, one hundred eighty-two thousand, three hundred thirteen".

Divisors: 1 13 5381 6121 69953 79573 32937101 428182313