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8419284 = 22321713757
BaseRepresentation
bin100000000111…
…011111010100
3120211202002100
4200013133110
54123404114
6500242100
7131364006
oct40073724
916752070
108419284
114830595
1229a0330
13198a233
141192376
15b14909
hex8077d4

8419284 has 36 divisors (see below), whose sum is σ = 22535604. Its totient is φ = 2641152.

The previous prime is 8419283. The next prime is 8419297. The reversal of 8419284 is 4829148.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 5391684 = 1740^2 + 2322^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419283) 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 11 ways as a sum of consecutive naturals, for example, 6267 + ... + 7490.

It is an arithmetic number, because the mean of its divisors is an integer number (625989).

Almost surely, 28419284 is an apocalyptic number.

It is an amenable number.

8419284 is an abundant number, since it is smaller than the sum of its proper divisors (14116320).

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

8419284 is a wasteful number, since it uses less digits than its factorization.

8419284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13784 (or 13779 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8419284 is about 2901.6002481389. The cubic root of 8419284 is about 203.4347095188.

The spelling of 8419284 in words is "eight million, four hundred nineteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 13757 27514 41271 55028 82542 123813 165084 233869 247626 467738 495252 701607 935476 1403214 2104821 2806428 4209642 8419284