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382806 = 23417139
BaseRepresentation
bin1011101011101010110
3201110010000
41131131112
544222211
612112130
73153024
oct1353526
9643100
10382806
11241676
12165646
13105318
149d714
1578656
hex5d756

382806 has 40 divisors (see below), whose sum is σ = 914760. Its totient is φ = 119232.

The previous prime is 382801. The next prime is 382807. The reversal of 382806 is 608283.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a nialpdrome in base 5 and base 9.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 382806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2685 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2382806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457380).

382806 is an abundant number, since it is smaller than the sum of its proper divisors (531954).

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

382806 is a wasteful number, since it uses less digits than its factorization.

382806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 382806 is about 618.7131807227. The cubic root of 382806 is about 72.6094107055.

The spelling of 382806 in words is "three hundred eighty-two thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 139 153 162 278 306 417 459 834 918 1251 1377 2363 2502 2754 3753 4726 7089 7506 11259 14178 21267 22518 42534 63801 127602 191403 382806