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8082378 = 2321761433
BaseRepresentation
bin11110110101001111001010
3120012121221100
4132311033022
54032114003
6445122230
7125461533
oct36651712
916177840
108082378
114620457
122859376
13189ca95
14110568a
15a99ba3
hex7b53ca

8082378 has 48 divisors (see below), whose sum is σ = 18889416. Its totient is φ = 2488320.

The previous prime is 8082359. The next prime is 8082379. The reversal of 8082378 is 8732808.

It can be written as a sum of positive squares in 4 ways, for example, as 4173849 + 3908529 = 2043^2 + 1977^2 .

It is not an unprimeable number, because it can be changed into a prime (8082379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18450 + ... + 18882.

Almost surely, 28082378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444708).

8082378 is an abundant number, since it is smaller than the sum of its proper divisors (10807038).

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

8082378 is a wasteful number, since it uses less digits than its factorization.

8082378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8082378 is about 2842.9523386789. The cubic root of 8082378 is about 200.6841404243.

The spelling of 8082378 in words is "eight million, eighty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 433 549 866 1037 1098 1299 2074 2598 3111 3897 6222 7361 7794 9333 14722 18666 22083 26413 44166 52826 66249 79239 132498 158478 237717 449021 475434 898042 1347063 2694126 4041189 8082378