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378882 = 23273197
BaseRepresentation
bin1011100100000000010
3201020201200
41130200002
544111012
612042030
73135420
oct1344002
9636650
10378882
11239729
12163316
131035ba
149c110
15773dc
hex5c802

378882 has 48 divisors (see below), whose sum is σ = 978432. Its totient is φ = 103680.

The previous prime is 378869. The next prime is 378883. The reversal of 378882 is 288873.

It is not an unprimeable number, because it can be changed into a prime (378883) by changing a digit.

378882 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3858 + ... + 3954.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2378882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489216).

378882 is an abundant number, since it is smaller than the sum of its proper divisors (599550).

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

378882 is a wasteful number, since it uses less digits than its factorization.

378882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 140 counting only the distinct ones).

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

The square root of 378882 is about 615.5339145815. The cubic root of 378882 is about 72.3604608951.

Subtracting from 378882 its reverse (288873), we obtain a palindrome (90009).

The spelling of 378882 in words is "three hundred seventy-eight thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 97 126 186 194 217 279 291 434 558 582 651 679 873 1302 1358 1746 1953 2037 3007 3906 4074 6014 6111 9021 12222 18042 21049 27063 42098 54126 63147 126294 189441 378882